54104014400 has 42 divisors (see below), whose sum is σ = 133129694370. Its totient is φ = 21641605120.

The previous prime is 54104014361. The next prime is 54104014403. The reversal of 54104014400 is 441040145.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19227704896 + 34876309504 = 138664^2 + 186752^2 .

It is not an unprimeable number, because it can be changed into a prime (54104014403) 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 5 ways as a sum of consecutive naturals, for example, 16905905 + ... + 16909104.

Almost surely, 2^54104014400 is an apocalyptic number.

54104014400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54104014400 is an abundant number, since it is smaller than the sum of its proper divisors (79025679970).

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

54104014400 is a wasteful number, since it uses less digits than its factorization.

54104014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33815031 (or 33815016 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 54104014400 its reverse (441040145), we get a palindrome (54545054545).

The spelling of 54104014400 in words is "fifty-four billion, one hundred four million, fourteen thousand, four hundred".