10440010200 has 96 divisors (see below), whose sum is σ = 32417634960. Its totient is φ = 2779392000.

The previous prime is 10440010159. The next prime is 10440010241. The reversal of 10440010200 is 201004401.

It is an interprime number because it is at equal distance from previous prime (10440010159) and next prime (10440010241).

It is a super-2 number, since 2×10440010200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 356100 + ... + 384300.

Almost surely, 2^10440010200 is an apocalyptic number.

10440010200 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 10440010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16208817480).

10440010200 is an abundant number, since it is smaller than the sum of its proper divisors (21977624760).

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

10440010200 is a wasteful number, since it uses less digits than its factorization.

10440010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28837 (or 28828 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10440010200 its reverse (201004401), we get a palindrome (10641014601).

The spelling of 10440010200 in words is "ten billion, four hundred forty million, ten thousand, two hundred".