30344430142400 has 252 divisors, whose sum is σ = 82883821476120. Its totient is φ = 10925080320000.

The previous prime is 30344430142391. The next prime is 30344430142441. The reversal of 30344430142400 is 424103444303.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 35 ways as a sum of consecutive naturals, for example, 18777671 + ... + 20329529.

Almost surely, 2^{30344430142400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30344430142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41441910738060).

30344430142400 is an abundant number, since it is smaller than the sum of its proper divisors (52539391333720).

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

30344430142400 is a wasteful number, since it uses less digits than its factorization.

30344430142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552004 (or 1551978 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 30344430142400 its reverse (424103444303), we get a palindrome (30768533586703).

The spelling of 30344430142400 in words is "thirty trillion, three hundred forty-four billion, four hundred thirty million, one hundred forty-two thousand, four hundred".