30412150400 has 192 divisors, whose sum is σ = 76970352600. Its totient is φ = 11870208000.

The previous prime is 30412150399. The next prime is 30412150409. The reversal of 30412150400 is 405121403.

It can be written as a sum of positive squares in 12 ways, for example, as 14001515584 + 16410634816 = 118328^2 + 128104^2 .

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 (30412150409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23592956 + ... + 23594244.

Almost surely, 2^30412150400 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 30412150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38485176300).

30412150400 is an abundant number, since it is smaller than the sum of its proper divisors (46558202200).

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

30412150400 is a wasteful number, since it uses less digits than its factorization.

30412150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 30412150400 its reverse (405121403), we get a palindrome (30817271803).

The spelling of 30412150400 in words is "thirty billion, four hundred twelve million, one hundred fifty thousand, four hundred".