30331142400 has 432 divisors, whose sum is σ = 108708292224. Its totient is φ = 7403274240.

The previous prime is 30331142389. The next prime is 30331142431. The reversal of 30331142400 is 424113303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34194757 + ... + 34195643.

Almost surely, 2^30331142400 is an apocalyptic number.

30331142400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30331142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54354146112).

30331142400 is an abundant number, since it is smaller than the sum of its proper divisors (78377149824).

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

30331142400 is a wasteful number, since it uses less digits than its factorization.

30331142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30331142400 its reverse (424113303), we get a palindrome (30755255703).

The spelling of 30331142400 in words is "thirty billion, three hundred thirty-one million, one hundred forty-two thousand, four hundred".