4009360832928 has 576 divisors, whose sum is σ = 13395268059264. Its totient is φ = 1169012736000.

The previous prime is 4009360832791. The next prime is 4009360832957. The reversal of 4009360832928 is 8292380639004.

It is a happy number.

4009360832928 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 3 + 608 + 3 + 2 + 9 + 28 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256001418 + ... + 256017078.

It is an arithmetic number, because the mean of its divisors is an integer number (23255673714).

Almost surely, 2^{4009360832928} is an apocalyptic number.

4009360832928 is a gapful number since it is divisible by the number (48) 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 4009360832928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697634029632).

4009360832928 is an abundant number, since it is smaller than the sum of its proper divisors (9385907226336).

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

4009360832928 is a wasteful number, since it uses less digits than its factorization.

4009360832928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15811 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4009360832928 in words is "four trillion, nine billion, three hundred sixty million, eight hundred thirty-two thousand, nine hundred twenty-eight".