4038698325960 has 768 divisors, whose sum is σ = 14250275020800. Its totient is φ = 1027589068800.

The previous prime is 4038698325931. The next prime is 4038698326021. The reversal of 4038698325960 is 695238968304.

4038698325960 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 6 + 9 + 8 + 32 + 596 + 0 = 666.

It is a super-2 number, since 2×4038698325960² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8837414052 + ... + 8837414508.

It is an arithmetic number, because the mean of its divisors is an integer number (18555045600).

Almost surely, 2^{4038698325960} is an apocalyptic number.

4038698325960 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 4038698325960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125137510400).

4038698325960 is an abundant number, since it is smaller than the sum of its proper divisors (10211576694840).

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

4038698325960 is a wasteful number, since it uses less digits than its factorization.

4038698325960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 4038698325960 in words is "four trillion, thirty-eight billion, six hundred ninety-eight million, three hundred twenty-five thousand, nine hundred sixty".