306213516416400 has 480 divisors, whose sum is σ = 1053833985808128. Its totient is φ = 75727867084800.

The previous prime is 306213516416387. The next prime is 306213516416429. The reversal of 306213516416400 is 4614615312603.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2573747314 + ... + 2573866286.

Almost surely, 2^{306213516416400} is an apocalyptic number.

306213516416400 is a gapful number since it is divisible by the number (30) 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 306213516416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526916992904064).

306213516416400 is an abundant number, since it is smaller than the sum of its proper divisors (747620469391728).

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

306213516416400 is a wasteful number, since it uses less digits than its factorization.

306213516416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120859 (or 120848 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 306213516416400 in words is "three hundred six trillion, two hundred thirteen billion, five hundred sixteen million, four hundred sixteen thousand, four hundred".