306145040435520 has 672 divisors, whose sum is σ = 1150783732707840. Its totient is φ = 68496654336000.

The previous prime is 306145040435519. The next prime is 306145040435587. The reversal of 306145040435520 is 25534040541603.

It is a congruent 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, 11958310720 + ... + 11958336320.

It is an arithmetic number, because the mean of its divisors is an integer number (1712475792720).

Almost surely, 2^{306145040435520} is an apocalyptic number.

306145040435520 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 306145040435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575391866353920).

306145040435520 is an abundant number, since it is smaller than the sum of its proper divisors (844638692272320).

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

306145040435520 is a wasteful number, since it uses less digits than its factorization.

306145040435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33575 (or 33554 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 306145040435520 in words is "three hundred six trillion, one hundred forty-five billion, forty million, four hundred thirty-five thousand, five hundred twenty".