30233010400 has 288 divisors, whose sum is σ = 79674900480. Its totient is φ = 11176704000.

The previous prime is 30233010397. The next prime is 30233010421. The reversal of 30233010400 is 401033203.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 91338235 + ... + 91338565.

It is an arithmetic number, because the mean of its divisors is an integer number (276648960).

Almost surely, 2^30233010400 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 30233010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39837450240).

30233010400 is an abundant number, since it is smaller than the sum of its proper divisors (49441890080).

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

30233010400 is a wasteful number, since it uses less digits than its factorization.

30233010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30233010400 its reverse (401033203), we get a palindrome (30634043603).

The spelling of 30233010400 in words is "thirty billion, two hundred thirty-three million, ten thousand, four hundred".