10440344400 has 60 divisors (see below), whose sum is σ = 33443907072. Its totient is φ = 2784091520.

The previous prime is 10440344363. The next prime is 10440344417. The reversal of 10440344400 is 444304401.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10440344400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4348944 + ... + 4351343.

Almost surely, 2^10440344400 is an apocalyptic number.

10440344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440344400 is an abundant number, since it is smaller than the sum of its proper divisors (23003562672).

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

10440344400 is a wasteful number, since it uses less digits than its factorization.

10440344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8700308 (or 8700297 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10440344400 its reverse (444304401), we get a palindrome (10884648801).

The spelling of 10440344400 in words is "ten billion, four hundred forty million, three hundred forty-four thousand, four hundred".