30414112400 has 360 divisors, whose sum is σ = 87945799680. Its totient is φ = 9899366400.

The previous prime is 30414112373. The next prime is 30414112409. The reversal of 30414112400 is 421141403.

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

It is not an unprimeable number, because it can be changed into a prime (30414112409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239481137 + ... + 239481263.

It is an arithmetic number, because the mean of its divisors is an integer number (244293888).

Almost surely, 2^30414112400 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 30414112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43972899840).

30414112400 is an abundant number, since it is smaller than the sum of its proper divisors (57531687280).

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

30414112400 is a wasteful number, since it uses less digits than its factorization.

30414112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 261 counting only the distinct ones).

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

Adding to 30414112400 its reverse (421141403), we get a palindrome (30835253803).

The spelling of 30414112400 in words is "thirty billion, four hundred fourteen million, one hundred twelve thousand, four hundred".