5015414400 has 96 divisors (see below), whose sum is σ = 16519552800. Its totient is φ = 1337441280.

The previous prime is 5015414389. The next prime is 5015414407. The reversal of 5015414400 is 44145105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5015414407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251620 + ... + 270819.

It is an arithmetic number, because the mean of its divisors is an integer number (172078675).

Almost surely, 2^5015414400 is an apocalyptic number.

5015414400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5015414400 is an abundant number, since it is smaller than the sum of its proper divisors (11504138400).

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

5015414400 is a wasteful number, since it uses less digits than its factorization.

5015414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522466 (or 522449 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5015414400 is about 70819.5905099712. The cubic root of 5015414400 is about 1711.7313608823.

Adding to 5015414400 its reverse (44145105), we get a palindrome (5059559505).

The spelling of 5015414400 in words is "five billion, fifteen million, four hundred fourteen thousand, four hundred".