52441286400 has 648 divisors, whose sum is σ = 198328306176. Its totient is φ = 13199155200.

The previous prime is 52441286399. The next prime is 52441286411. The reversal of 52441286400 is 468214425.

52441286400 is a `hidden beast` number, since 5 + 2 + 4 + 4 + 1 + 2 + 8 + 640 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 76780459 + ... + 76781141.

Almost surely, 2^52441286400 is an apocalyptic number.

52441286400 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 52441286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99164153088).

52441286400 is an abundant number, since it is smaller than the sum of its proper divisors (145887019776).

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

52441286400 is a wasteful number, since it uses less digits than its factorization.

52441286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 52441286400 in words is "fifty-two billion, four hundred forty-one million, two hundred eighty-six thousand, four hundred".