5406116400 has 90 divisors (see below), whose sum is σ = 18760738100. Its totient is φ = 1441630080.

The previous prime is 5406116393. The next prime is 5406116407. The reversal of 5406116400 is 46116045.

5406116400 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 11 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5406116393) and next prime (5406116407).

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (5406116407) 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 17 ways as a sum of consecutive naturals, for example, 747250 + ... + 754449.

Almost surely, 2^5406116400 is an apocalyptic number.

5406116400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5406116400 is an abundant number, since it is smaller than the sum of its proper divisors (13354621700).

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

5406116400 is a wasteful number, since it uses less digits than its factorization.

5406116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501723 (or 1501709 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5406116400 is about 73526.2973363952. The cubic root of 5406116400 is about 1755.0727804819.

The spelling of 5406116400 in words is "five billion, four hundred six million, one hundred sixteen thousand, four hundred".