61131044400 has 60 divisors (see below), whose sum is σ = 195823116072. Its totient is φ = 16301611520.

The previous prime is 61131044399. The next prime is 61131044419. The reversal of 61131044400 is 444013116.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25470069 + ... + 25472468.

Almost surely, 2^61131044400 is an apocalyptic number.

61131044400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61131044400 is an abundant number, since it is smaller than the sum of its proper divisors (134692071672).

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

61131044400 is a wasteful number, since it uses less digits than its factorization.

61131044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50942558 (or 50942547 counting only the distinct ones).

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

Adding to 61131044400 its reverse (444013116), we get a palindrome (61575057516).

The spelling of 61131044400 in words is "sixty-one billion, one hundred thirty-one million, forty-four thousand, four hundred".