50140166400 has 405 divisors, whose sum is σ = 185989070113. Its totient is φ = 13327718400.

The previous prime is 50140166389. The next prime is 50140166437. The reversal of 50140166400 is 466104105.

The square root of 50140166400 is 223920.

It is a perfect power (a square), and thus also a powerful number.

50140166400 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 0 + 16 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18050459904 + 32089706496 = 134352^2 + 179136^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 161222245 + ... + 161222555.

Almost surely, 2^50140166400 is an apocalyptic number.

50140166400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50140166400 is the 223920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50140166400

50140166400 is an abundant number, since it is smaller than the sum of its proper divisors (135848903713).

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

50140166400 is an frugal number, since it uses more digits than its factorization.

50140166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 50140166400 in words is "fifty billion, one hundred forty million, one hundred sixty-six thousand, four hundred".