4009564855296 has 1408 divisors, whose sum is σ = 16639064064000. Its totient is φ = 919391109120.

The previous prime is 4009564855279. The next prime is 4009564855337. The reversal of 4009564855296 is 6925584659004.

It is a happy number.

4009564855296 is a `hidden beast` number, since 40 + 0 + 9 + 5 + 64 + 8 + 5 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×4009564855296² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 636536755 + ... + 636543053.

Almost surely, 2^{4009564855296} is an apocalyptic number.

4009564855296 is a gapful number since it is divisible by the number (46) 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 4009564855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319532032000).

4009564855296 is an abundant number, since it is smaller than the sum of its proper divisors (12629499208704).

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

4009564855296 is a wasteful number, since it uses less digits than its factorization.

4009564855296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 4009564855296 in words is "four trillion, nine billion, five hundred sixty-four million, eight hundred fifty-five thousand, two hundred ninety-six".