10400013099072 has 448 divisors, whose sum is σ = 33018485103360. Its totient is φ = 3198203854848.

The previous prime is 10400013099061. The next prime is 10400013099083. The reversal of 10400013099072 is 27099031000401.

It is an interprime number because it is at equal distance from previous prime (10400013099061) and next prime (10400013099083).

It is a super-2 number, since 2×10400013099072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349530148 + ... + 349559900.

Almost surely, 2^{10400013099072} is an apocalyptic number.

10400013099072 is a gapful number since it is divisible by the number (12) 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 10400013099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509242551680).

10400013099072 is an abundant number, since it is smaller than the sum of its proper divisors (22618472004288).

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

10400013099072 is a wasteful number, since it uses less digits than its factorization.

10400013099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30027 (or 30011 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Adding to 10400013099072 its reverse (27099031000401), we get a palindrome (37499044099473).

The spelling of 10400013099072 in words is "ten trillion, four hundred billion, thirteen million, ninety-nine thousand, seventy-two".