50042966400 has 480 divisors, whose sum is σ = 211058567280. Its totient is φ = 11437977600.

The previous prime is 50042966371. The next prime is 50042966417. The reversal of 50042966400 is 466924005.

50042966400 is a `hidden beast` number, since 5 + 0 + 0 + 4 + 2 + 9 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×50042966400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1800610 + ... + 1828190.

Almost surely, 2^50042966400 is an apocalyptic number.

50042966400 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 50042966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105529283640).

50042966400 is an abundant number, since it is smaller than the sum of its proper divisors (161015600880).

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

50042966400 is a wasteful number, since it uses less digits than its factorization.

50042966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27624 (or 27598 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 50042966400 in words is "fifty billion, forty-two million, nine hundred sixty-six thousand, four hundred".