10032144131400 has 48 divisors (see below), whose sum is σ = 31099646809200. Its totient is φ = 2675238434880.

The previous prime is 10032144131371. The next prime is 10032144131411. The reversal of 10032144131400 is 413144123001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8360119510 + ... + 8360120709.

It is an arithmetic number, because the mean of its divisors is an integer number (647909308525).

Almost surely, 2^{10032144131400} is an apocalyptic number.

10032144131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032144131400 is an abundant number, since it is smaller than the sum of its proper divisors (21067502677800).

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

10032144131400 is a wasteful number, since it uses less digits than its factorization.

10032144131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16720240238 (or 16720240229 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10032144131400 its reverse (413144123001), we get a palindrome (10445288254401).

The spelling of 10032144131400 in words is "ten trillion, thirty-two billion, one hundred forty-four million, one hundred thirty-one thousand, four hundred".