10444320304400 has 120 divisors (see below), whose sum is σ = 26453391707904. Its totient is φ = 3954890649600.

The previous prime is 10444320304399. The next prime is 10444320304403. The reversal of 10444320304400 is 440302344401.

It is a happy number.

It is a super-3 number, since 3×10444320304400³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10444320304403) 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, 4959416 + ... + 6744215.

Almost surely, 2^{10444320304400} is an apocalyptic number.

10444320304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444320304400 is an abundant number, since it is smaller than the sum of its proper divisors (16009071403504).

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

10444320304400 is a wasteful number, since it uses less digits than its factorization.

10444320304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703769 (or 11703758 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 10444320304400 its reverse (440302344401), we get a palindrome (10884622648801).

The spelling of 10444320304400 in words is "ten trillion, four hundred forty-four billion, three hundred twenty million, three hundred four thousand, four hundred".