30233042342400 has 240 divisors, whose sum is σ = 103094678446848. Its totient is φ = 7802075136000.

The previous prime is 30233042342387. The next prime is 30233042342407. The reversal of 30233042342400 is 424324033203.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30233042342407) 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, 11508291 + ... + 13889090.

Almost surely, 2^{30233042342400} is an apocalyptic number.

30233042342400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30233042342400 is an abundant number, since it is smaller than the sum of its proper divisors (72861636104448).

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

30233042342400 is a wasteful number, since it uses less digits than its factorization.

30233042342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25397443 (or 25397422 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 30233042342400 its reverse (424324033203), we get a palindrome (30657366375603).

The spelling of 30233042342400 in words is "thirty trillion, two hundred thirty-three billion, forty-two million, three hundred forty-two thousand, four hundred".