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4081739040 = 25355277379
BaseRepresentation
bin1111001101001010…
…0110010100100000
3101112110111211100000
43303102212110200
531324411122130
61513005500000
7203102131551
oct36322462440
911473454300
104081739040
111805042a55
1295ab71600
13500840502
142aa150328
1518d51e260
hexf34a6520

4081739040 has 288 divisors, whose sum is σ = 14535218880. Its totient is φ = 1081672704.

The previous prime is 4081739033. The next prime is 4081739047. The reversal of 4081739040 is 409371804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4081739033) and next prime (4081739047).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 4081738986 and 4081739004.

It is not an unprimeable number, because it can be changed into a prime (4081739047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10769571 + ... + 10769949.

It is an arithmetic number, because the mean of its divisors is an integer number (50469510).

Almost surely, 24081739040 is an apocalyptic number.

4081739040 is a gapful number since it is divisible by the number (40) 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 4081739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267609440).

4081739040 is an abundant number, since it is smaller than the sum of its proper divisors (10453479840).

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

4081739040 is a wasteful number, since it uses less digits than its factorization.

4081739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4081739040 is about 63888.4891040632. The cubic root of 4081739040 is about 1598.1409449497.

The spelling of 4081739040 in words is "four billion, eighty-one million, seven hundred thirty-nine thousand, forty".