30201441442400 has 72 divisors (see below), whose sum is σ = 77609756798280. Its totient is φ = 11444756751360.

The previous prime is 30201441442391. The next prime is 30201441442423. The reversal of 30201441442400 is 424414410203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993453269 + ... + 993483668.

It is an arithmetic number, because the mean of its divisors is an integer number (1077913288865).

Almost surely, 2^{30201441442400} is an apocalyptic number.

It is an amenable number.

30201441442400 is an abundant number, since it is smaller than the sum of its proper divisors (47408315355880).

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

30201441442400 is a wasteful number, since it uses less digits than its factorization.

30201441442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986936976 (or 1986936963 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 30201441442400 its reverse (424414410203), we get a palindrome (30625855852603).

The spelling of 30201441442400 in words is "thirty trillion, two hundred one billion, four hundred forty-one million, four hundred forty-two thousand, four hundred".