30131942464 has 224 divisors, whose sum is σ = 68944296960. Its totient is φ = 12966912000.

The previous prime is 30131942461. The next prime is 30131942483. The reversal of 30131942464 is 46424913103.

It is not an unprimeable number, because it can be changed into a prime (30131942461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112014522 + ... + 112014790.

It is an arithmetic number, because the mean of its divisors is an integer number (307787040).

Almost surely, 2^30131942464 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 30131942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34472148480).

30131942464 is an abundant number, since it is smaller than the sum of its proper divisors (38812354496).

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

30131942464 is a wasteful number, since it uses less digits than its factorization.

30131942464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 30131942464 in words is "thirty billion, one hundred thirty-one million, nine hundred forty-two thousand, four hundred sixty-four".