4096957536 has 384 divisors, whose sum is σ = 14558745600. Its totient is φ = 1094860800.

The previous prime is 4096957507. The next prime is 4096957573. The reversal of 4096957536 is 6357596904.

4096957536 is a `hidden beast` number, since 4 + 0 + 9 + 69 + 575 + 3 + 6 = 666.

It is a super-2 number, since 2×4096957536² = 33570122103574382592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11605936 + ... + 11606288.

It is an arithmetic number, because the mean of its divisors is an integer number (37913400).

Almost surely, 2^4096957536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096957536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279372800).

4096957536 is an abundant number, since it is smaller than the sum of its proper divisors (10461788064).

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

4096957536 is a wasteful number, since it uses less digits than its factorization.

4096957536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 4096957536 is about 64007.4803128509. The cubic root of 4096957536 is about 1600.1246694524.

The spelling of 4096957536 in words is "four billion, ninety-six million, nine hundred fifty-seven thousand, five hundred thirty-six".