306401366240 has 192 divisors, whose sum is σ = 763055935488. Its totient is φ = 116116070400.

The previous prime is 306401366231. The next prime is 306401366273. The reversal of 306401366240 is 42663104603.

It is a super-2 number, since 2×306401366240² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 306401366240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55494680 + ... + 55500200.

It is an arithmetic number, because the mean of its divisors is an integer number (3974249664).

Almost surely, 2^306401366240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306401366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381527967744).

306401366240 is an abundant number, since it is smaller than the sum of its proper divisors (456654569248).

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

306401366240 is a wasteful number, since it uses less digits than its factorization.

306401366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5801 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 306401366240 in words is "three hundred six billion, four hundred one million, three hundred sixty-six thousand, two hundred forty".