30404400342400 has 192 divisors, whose sum is σ = 85949231798880. Its totient is φ = 10410874306560.

The previous prime is 30404400342313. The next prime is 30404400342473. The reversal of 30404400342400 is 424300440403.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 16437232 + ... + 18193168.

Almost surely, 2^{30404400342400} 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 30404400342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42974615899440).

30404400342400 is an abundant number, since it is smaller than the sum of its proper divisors (55544831456480).

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

30404400342400 is a wasteful number, since it uses less digits than its factorization.

30404400342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756741 (or 1756724 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 30404400342400 its reverse (424300440403), we get a palindrome (30828700782803).

The spelling of 30404400342400 in words is "thirty trillion, four hundred four billion, four hundred million, three hundred forty-two thousand, four hundred".