30415224960 has 384 divisors, whose sum is σ = 111633500160. Its totient is φ = 7604305920.

The previous prime is 30415224953. The next prime is 30415224991. The reversal of 30415224960 is 6942251403.

It is a happy number.

30415224960 is a `hidden beast` number, since 3 + 0 + 41 + 522 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37502955 + ... + 37503765.

It is an arithmetic number, because the mean of its divisors is an integer number (290712240).

Almost surely, 2^30415224960 is an apocalyptic number.

30415224960 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 30415224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55816750080).

30415224960 is an abundant number, since it is smaller than the sum of its proper divisors (81218275200).

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

30415224960 is a wasteful number, since it uses less digits than its factorization.

30415224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30415224960 in words is "thirty billion, four hundred fifteen million, two hundred twenty-four thousand, nine hundred sixty".