1064331602400 has 144 divisors (see below), whose sum is σ = 3779344856448. Its totient is φ = 258019776000.

The previous prime is 1064331602363. The next prime is 1064331602413. The reversal of 1064331602400 is 42061334601.

It is a super-2 number, since 2×1064331602400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20131396 + ... + 20184195.

It is an arithmetic number, because the mean of its divisors is an integer number (26245450392).

Almost surely, 2^{1064331602400} is an apocalyptic number.

1064331602400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064331602400 is an abundant number, since it is smaller than the sum of its proper divisors (2715013254048).

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

1064331602400 is a wasteful number, since it uses less digits than its factorization.

1064331602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40315625 (or 40315612 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 1064331602400 in words is "one trillion, sixty-four billion, three hundred thirty-one million, six hundred two thousand, four hundred".