10331595918400 has 189 divisors, whose sum is σ = 25696210107477. Its totient is φ = 4088564160000.

The previous prime is 10331595918379. The next prime is 10331595918401. The reversal of 10331595918400 is 481959513301.

It is a happy number.

The square root of 10331595918400 is 3214280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3719374530624 + 6612221387776 = 1928568^2 + 2571424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10331595918401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13757118025 + ... + 13757118775.

Almost surely, 2^{10331595918400} is an apocalyptic number.

10331595918400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10331595918400 is the 3214280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331595918400

10331595918400 is an abundant number, since it is smaller than the sum of its proper divisors (15364614189077).

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

10331595918400 is an frugal number, since it uses more digits than its factorization.

10331595918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 49.

Multiplying 10331595918400 by its sum of digits (49), we get a square (506248200001600 = 22499960²).

The spelling of 10331595918400 in words is "ten trillion, three hundred thirty-one billion, five hundred ninety-five million, nine hundred eighteen thousand, four hundred".