30907146480 has 320 divisors, whose sum is σ = 122045045760. Its totient is φ = 6298877952.

The previous prime is 30907146469. The next prime is 30907146541. The reversal of 30907146480 is 8464170903.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514162 + ... + 571118.

It is an arithmetic number, because the mean of its divisors is an integer number (381390768).

Almost surely, 2^30907146480 is an apocalyptic number.

30907146480 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 30907146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61022522880).

30907146480 is an abundant number, since it is smaller than the sum of its proper divisors (91137899280).

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

30907146480 is a wasteful number, since it uses less digits than its factorization.

30907146480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57016 (or 57010 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 30907146480 in words is "thirty billion, nine hundred seven million, one hundred forty-six thousand, four hundred eighty".