5416730400 has 144 divisors (see below), whose sum is σ = 18668742624. Its totient is φ = 1359482880.

The previous prime is 5416730393. The next prime is 5416730419. The reversal of 5416730400 is 40376145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25582 + ... + 107181.

It is an arithmetic number, because the mean of its divisors is an integer number (129644046).

Almost surely, 2^5416730400 is an apocalyptic number.

5416730400 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 5416730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9334371312).

5416730400 is an abundant number, since it is smaller than the sum of its proper divisors (13252012224).

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

5416730400 is a wasteful number, since it uses less digits than its factorization.

5416730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132803 (or 132790 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5416730400 is about 73598.4402008630. The cubic root of 5416730400 is about 1756.2206263160.

The spelling of 5416730400 in words is "five billion, four hundred sixteen million, seven hundred thirty thousand, four hundred".