10440042301200 has 120 divisors (see below), whose sum is σ = 34154487508608. Its totient is φ = 2724776983040.

The previous prime is 10440042301177. The next prime is 10440042301201. The reversal of 10440042301200 is 210324004401.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (10440042301201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92497167 + ... + 92609966.

Almost surely, 2^{10440042301200} is an apocalyptic number.

10440042301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440042301200 is an abundant number, since it is smaller than the sum of its proper divisors (23714445207408).

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

10440042301200 is a wasteful number, since it uses less digits than its factorization.

10440042301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185107201 (or 185107190 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10440042301200 its reverse (210324004401), we get a palindrome (10650366305601).

The spelling of 10440042301200 in words is "ten trillion, four hundred forty billion, forty-two million, three hundred one thousand, two hundred".