1038937294640 has 160 divisors (see below), whose sum is σ = 2770214599680. Its totient is φ = 354969216000.

The previous prime is 1038937294627. The next prime is 1038937294643. The reversal of 1038937294640 is 464927398301.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (1038937294643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258375830 + ... + 258379850.

It is an arithmetic number, because the mean of its divisors is an integer number (17313841248).

Almost surely, 2^{1038937294640} is an apocalyptic number.

1038937294640 is a gapful number since it is divisible by the number (10) 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 1038937294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385107299840).

1038937294640 is an abundant number, since it is smaller than the sum of its proper divisors (1731277305040).

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

1038937294640 is a wasteful number, since it uses less digits than its factorization.

1038937294640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 1038937294640 in words is "one trillion, thirty-eight billion, nine hundred thirty-seven million, two hundred ninety-four thousand, six hundred forty".