30144010120400 has 120 divisors (see below), whose sum is σ = 79169652460800. Its totient is φ = 10938573414400.

The previous prime is 30144010120397. The next prime is 30144010120421. The reversal of 30144010120400 is 402101044103.

It is a super-2 number, since 2×30144010120400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5043665 + ... + 9258864.

It is an arithmetic number, because the mean of its divisors is an integer number (659747103840).

Almost surely, 2^{30144010120400} is an apocalyptic number.

It is an amenable number.

30144010120400 is an abundant number, since it is smaller than the sum of its proper divisors (49025642340400).

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

30144010120400 is a wasteful number, since it uses less digits than its factorization.

30144010120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14303037 (or 14303026 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 30144010120400 its reverse (402101044103), we get a palindrome (30546111164503).

The spelling of 30144010120400 in words is "thirty trillion, one hundred forty-four billion, ten million, one hundred twenty thousand, four hundred".