10440113400 has 144 divisors (see below), whose sum is σ = 35636532360. Its totient is φ = 2738361600.

The previous prime is 10440113393. The next prime is 10440113441. The reversal of 10440113400 is 431104401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62259 + ... + 157341.

Almost surely, 2^10440113400 is an apocalyptic number.

10440113400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818266180).

10440113400 is an abundant number, since it is smaller than the sum of its proper divisors (25196418960).

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

10440113400 is a wasteful number, since it uses less digits than its factorization.

10440113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95166 (or 95154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10440113400 its reverse (431104401), we get a palindrome (10871217801).

The spelling of 10440113400 in words is "ten billion, four hundred forty million, one hundred thirteen thousand, four hundred".