1038335643904 has 288 divisors, whose sum is σ = 2452540003200. Its totient is φ = 434387681280.

The previous prime is 1038335643883. The next prime is 1038335643941. The reversal of 1038335643904 is 4093465338301.

It is a super-2 number, since 2×1038335643904² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207208759 + ... + 207213769.

It is an arithmetic number, because the mean of its divisors is an integer number (8515763900).

Almost surely, 2^{1038335643904} 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 1038335643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226270001600).

1038335643904 is an abundant number, since it is smaller than the sum of its proper divisors (1414204359296).

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

1038335643904 is a wasteful number, since it uses less digits than its factorization.

1038335643904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

The spelling of 1038335643904 in words is "one trillion, thirty-eight billion, three hundred thirty-five million, six hundred forty-three thousand, nine hundred four".