40113103344400 has 60 divisors (see below), whose sum is σ = 96393435510964. Its totient is φ = 16041627648000.

The previous prime is 40113103344389. The next prime is 40113103344467. The reversal of 40113103344400 is 444330131104.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6136282031104 + 33976821313296 = 2477152^2 + 5828964^2 .

It is a super-2 number, since 2×40113103344400² (a number of 28 digits) contains 22 as substring.

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, 9514161 + ... + 13066960.

Almost surely, 2^{40113103344400} is an apocalyptic number.

40113103344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40113103344400 is an abundant number, since it is smaller than the sum of its proper divisors (56280332166564).

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

40113103344400 is a wasteful number, since it uses less digits than its factorization.

40113103344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585580 (or 22585569 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 40113103344400 its reverse (444330131104), we get a palindrome (40557433475504).

The spelling of 40113103344400 in words is "forty trillion, one hundred thirteen billion, one hundred three million, three hundred forty-four thousand, four hundred".