10442333033400 has 96 divisors (see below), whose sum is σ = 32585611708800. Its totient is φ = 2766180912000.

The previous prime is 10442333033371. The next prime is 10442333033453. The reversal of 10442333033400 is 433033324401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57538170 + ... + 57719369.

It is an arithmetic number, because the mean of its divisors is an integer number (339433455300).

Almost surely, 2^{10442333033400} is an apocalyptic number.

10442333033400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442333033400 is an abundant number, since it is smaller than the sum of its proper divisors (22143278675400).

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

10442333033400 is a wasteful number, since it uses less digits than its factorization.

10442333033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115257709 (or 115257700 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 10442333033400 its reverse (433033324401), we get a palindrome (10875366357801).

The spelling of 10442333033400 in words is "ten trillion, four hundred forty-two billion, three hundred thirty-three million, thirty-three thousand, four hundred".