838040715264 has 128 divisors (see below), whose sum is σ = 2238547675680. Its totient is φ = 278871146496.

The previous prime is 838040715233. The next prime is 838040715269. The reversal of 838040715264 is 462517040838.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (838040715269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60253399 + ... + 60267305.

Almost surely, 2^838040715264 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 838040715264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119273837840).

838040715264 is an abundant number, since it is smaller than the sum of its proper divisors (1400506960416).

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

838040715264 is an equidigital number, since it uses as much as digits as its factorization.

838040715264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14553 (or 14525 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 838040715264 in words is "eight hundred thirty-eight billion, forty million, seven hundred fifteen thousand, two hundred sixty-four".