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4021444432440 = 2332511170678979
BaseRepresentation
bin111010100001010000110…
…001000101001000111000
3112020110001101011201222200
4322201100301011020320
51011341404233314230
612315232010350200
7563353066451241
oct72412061051070
915213041151880
104021444432440
1113105375a8106
1254b47172b360
132322b380b006
14dc8d33c1cc8
156e918946160
hex3a850c45238

4021444432440 has 48 divisors (see below), whose sum is σ = 13069694406600. Its totient is φ = 1072385181888.

The previous prime is 4021444432429. The next prime is 4021444432463. The reversal of 4021444432440 is 442344441204.

It is a happy number.

4021444432440 is a `hidden beast` number, since 4 + 0 + 2 + 144 + 44 + 32 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4021444432395 and 4021444432404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5585339130 + ... + 5585339849.

Almost surely, 24021444432440 is an apocalyptic number.

4021444432440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4021444432440 is an abundant number, since it is smaller than the sum of its proper divisors (9048249974160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4021444432440 is a wasteful number, since it uses less digits than its factorization.

4021444432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11170678996 (or 11170678989 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4021444432440 its reverse (442344441204), we get a palindrome (4463788873644).

The spelling of 4021444432440 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11170678979 22341357958 33512036937 44682715916 55853394895 67024073874 89365431832 100536110811 111706789790 134048147748 167560184685 201072221622 223413579580 268096295496 335120369370 402144443244 446827159160 502680554055 670240738740 804288886488 1005361108110 1340481477480 2010722216220 4021444432440