30144638160 has 960 divisors, whose sum is σ = 131751567360. Its totient is φ = 6200064000.

The previous prime is 30144638159. The next prime is 30144638179. The reversal of 30144638160 is 6183644103.

It is a happy number.

30144638160 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 4 + 638 + 16 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120098035 + ... + 120098285.

It is an arithmetic number, because the mean of its divisors is an integer number (137241216).

Almost surely, 2^30144638160 is an apocalyptic number.

30144638160 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 30144638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65875783680).

30144638160 is an abundant number, since it is smaller than the sum of its proper divisors (101606929200).

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

30144638160 is a wasteful number, since it uses less digits than its factorization.

30144638160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30144638160 in words is "thirty billion, one hundred forty-four million, six hundred thirty-eight thousand, one hundred sixty".