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1441440499968 = 2834719522661
BaseRepresentation
bin10100111110011100100…
…011001000100100000000
312002210121110121022110000
4110332130203020210000
5142104032231444333
63022104424240000
7206066145043140
oct24763443104400
95083543538400
101441440499968
11506347647277
121b343b610000
13a5c09248181
144daa222c920
152776633b713
hex14f9c8c8900

1441440499968 has 360 divisors, whose sum is σ = 5170674259520. Its totient is φ = 390163599360.

The previous prime is 1441440499963. The next prime is 1441440499979. The reversal of 1441440499968 is 8699940441441.

1441440499968 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 440 + 49 + 99 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1441440499963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2496558 + ... + 3019218.

Almost surely, 21441440499968 is an apocalyptic number.

1441440499968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441440499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585337129760).

1441440499968 is an abundant number, since it is smaller than the sum of its proper divisors (3729233759552).

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

1441440499968 is an equidigital number, since it uses as much as digits as its factorization.

1441440499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522715 (or 522692 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 1441440499968 in words is "one trillion, four hundred forty-one billion, four hundred forty million, four hundred ninety-nine thousand, nine hundred sixty-eight".