306412501990140 has 480 divisors, whose sum is σ = 1183102832064384. Its totient is φ = 64646732759040.

The previous prime is 306412501990087. The next prime is 306412501990169. The reversal of 306412501990140 is 41099105214603.

306412501990140 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 12 + 501 + 9 + 90 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5144485960 + ... + 5144545520.

Almost surely, 2^{306412501990140} is an apocalyptic number.

306412501990140 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 306412501990140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591551416032192).

306412501990140 is an abundant number, since it is smaller than the sum of its proper divisors (876690330074244).

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

306412501990140 is a wasteful number, since it uses less digits than its factorization.

306412501990140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94499 (or 94488 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 306412501990140 in words is "three hundred six trillion, four hundred twelve billion, five hundred one million, nine hundred ninety thousand, one hundred forty".