10033235242400 has 36 divisors (see below), whose sum is σ = 24493635537462. Its totient is φ = 4013294096640.

The previous prime is 10033235242351. The next prime is 10033235242427. The reversal of 10033235242400 is 424253233001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8224070359696 + 1809164882704 = 2867764^2 + 1345052^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6270771227 + ... + 6270772826.

Almost surely, 2^{10033235242400} is an apocalyptic number.

10033235242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033235242400 is an abundant number, since it is smaller than the sum of its proper divisors (14460400295062).

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

10033235242400 is a wasteful number, since it uses less digits than its factorization.

10033235242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541544073 (or 12541544060 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 10033235242400 its reverse (424253233001), we get a palindrome (10457488475401).

The spelling of 10033235242400 in words is "ten trillion, thirty-three billion, two hundred thirty-five million, two hundred forty-two thousand, four hundred".