54414032400 has 360 divisors, whose sum is σ = 232409777600. Its totient is φ = 11480693760.

The previous prime is 54414032399. The next prime is 54414032423. The reversal of 54414032400 is 423041445.

It is a happy number.

54414032400 is a `hidden beast` number, since 5 + 4 + 414 + 0 + 3 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244551 + ... + 410649.

Almost surely, 2^54414032400 is an apocalyptic number.

54414032400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54414032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116204888800).

54414032400 is an abundant number, since it is smaller than the sum of its proper divisors (177995745200).

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

54414032400 is a wasteful number, since it uses less digits than its factorization.

54414032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166143 (or 166129 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 54414032400 its reverse (423041445), we get a palindrome (54837073845).

The spelling of 54414032400 in words is "fifty-four billion, four hundred fourteen million, thirty-two thousand, four hundred".