307980432144 has 320 divisors, whose sum is σ = 1125607956480. Its totient is φ = 78292500480.

The previous prime is 307980432143. The next prime is 307980432173. The reversal of 307980432144 is 441234089703.

307980432144 is a `hidden beast` number, since 3 + 0 + 79 + 8 + 0 + 432 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 307980432144.

It is not an unprimeable number, because it can be changed into a prime (307980432143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1464912 + ... + 1661904.

It is an arithmetic number, because the mean of its divisors is an integer number (3517524864).

Almost surely, 2^307980432144 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 307980432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562803978240).

307980432144 is an abundant number, since it is smaller than the sum of its proper divisors (817627524336).

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

307980432144 is a wasteful number, since it uses less digits than its factorization.

307980432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197075 (or 197063 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 307980432144 in words is "three hundred seven billion, nine hundred eighty million, four hundred thirty-two thousand, one hundred forty-four".