5014802534400 has 1560 divisors, whose sum is σ = 19655776783104. Its totient is φ = 1261279641600.

The previous prime is 5014802534353. The next prime is 5014802534431. The reversal of 5014802534400 is 44352084105.

It is a happy number.

5014802534400 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 80 + 2 + 534 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18504806265 + ... + 18504806535.

Almost surely, 2^{5014802534400} is an apocalyptic number.

5014802534400 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 5014802534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827888391552).

5014802534400 is an abundant number, since it is smaller than the sum of its proper divisors (14640974248704).

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

5014802534400 is a wasteful number, since it uses less digits than its factorization.

5014802534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 5014802534400 in words is "five trillion, fourteen billion, eight hundred two million, five hundred thirty-four thousand, four hundred".