10413113304440 has 192 divisors, whose sum is σ = 29454749452800. Its totient is φ = 3243148634880.

The previous prime is 10413113304389. The next prime is 10413113304497. The reversal of 10413113304440 is 4440331131401.

It is a super-2 number, since 2×10413113304440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44163581 + ... + 44398739.

It is an arithmetic number, because the mean of its divisors is an integer number (153410153400).

Almost surely, 2^{10413113304440} is an apocalyptic number.

10413113304440 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 10413113304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14727374726400).

10413113304440 is an abundant number, since it is smaller than the sum of its proper divisors (19041636148360).

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

10413113304440 is a wasteful number, since it uses less digits than its factorization.

10413113304440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236506 (or 236491 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 10413113304440 its reverse (4440331131401), we get a palindrome (14853444435841).

The spelling of 10413113304440 in words is "ten trillion, four hundred thirteen billion, one hundred thirteen million, three hundred four thousand, four hundred forty".