30991440480 has 768 divisors, whose sum is σ = 133657122816. Its totient is φ = 5827461120.

The previous prime is 30991440479. The next prime is 30991440511. The reversal of 30991440480 is 8404419903.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 25464832 + ... + 25466048.

It is an arithmetic number, because the mean of its divisors is an integer number (174032712).

Almost surely, 2^30991440480 is an apocalyptic number.

30991440480 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 30991440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66828561408).

30991440480 is an abundant number, since it is smaller than the sum of its proper divisors (102665682336).

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

30991440480 is a wasteful number, since it uses less digits than its factorization.

30991440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 30991440480 in words is "thirty billion, nine hundred ninety-one million, four hundred forty thousand, four hundred eighty".