10144131400 has 48 divisors (see below), whose sum is σ = 25399350900. Its totient is φ = 3745524480.

The previous prime is 10144131391. The next prime is 10144131427. The reversal of 10144131400 is 413144101.

It can be written as a sum of positive squares in 6 ways, for example, as 1509633316 + 8634498084 = 38854^2 + 92922^2 .

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, 1948195 + ... + 1953394.

Almost surely, 2^10144131400 is an apocalyptic number.

10144131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144131400 is an abundant number, since it is smaller than the sum of its proper divisors (15255219500).

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

10144131400 is a wasteful number, since it uses less digits than its factorization.

10144131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901618 (or 3901609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10144131400 its reverse (413144101), we get a palindrome (10557275501).

The spelling of 10144131400 in words is "ten billion, one hundred forty-four million, one hundred thirty-one thousand, four hundred".