5261414400 has 624 divisors, whose sum is σ = 21207481920. Its totient is φ = 1268121600.

The previous prime is 5261414387. The next prime is 5261414423. The reversal of 5261414400 is 44141625.

5261414400 is a `hidden beast` number, since 5 + 2 + 614 + 1 + 4 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30412714 + ... + 30412886.

Almost surely, 2^5261414400 is an apocalyptic number.

5261414400 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 5261414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10603740960).

5261414400 is an abundant number, since it is smaller than the sum of its proper divisors (15946067520).

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

5261414400 is a wasteful number, since it uses less digits than its factorization.

5261414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5261414400 is about 72535.6078074762. The cubic root of 5261414400 is about 1739.2719903329.

The spelling of 5261414400 in words is "five billion, two hundred sixty-one million, four hundred fourteen thousand, four hundred".