10031442234400 has 72 divisors (see below), whose sum is σ = 24496204681620. Its totient is φ = 4011438735360.

The previous prime is 10031442234367. The next prime is 10031442234403. The reversal of 10031442234400 is 443224413001.

It can be written as a sum of positive squares in 6 ways, for example, as 3104376181776 + 6927066052624 = 1761924^2 + 2631932^2 .

It is not an unprimeable number, because it can be changed into a prime (10031442234403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1046592 + ... + 4599808.

Almost surely, 2^{10031442234400} is an apocalyptic number.

10031442234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031442234400 is an abundant number, since it is smaller than the sum of its proper divisors (14464762447220).

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

10031442234400 is a wasteful number, since it uses less digits than its factorization.

10031442234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556766 (or 3556753 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10031442234400 its reverse (443224413001), we get a palindrome (10474666647401).

The spelling of 10031442234400 in words is "ten trillion, thirty-one billion, four hundred forty-two million, two hundred thirty-four thousand, four hundred".