40402424132112 has 320 divisors, whose sum is σ = 125585287027200. Its totient is φ = 10949755944960.

The previous prime is 40402424132089. The next prime is 40402424132159. The reversal of 40402424132112 is 21123142420404.

It is a self number, because there is not a number n which added to its sum of digits gives 40402424132112.

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, 728350714 + ... + 728406182.

It is an arithmetic number, because the mean of its divisors is an integer number (392454021960).

Almost surely, 2^{40402424132112} is an apocalyptic number.

40402424132112 is a gapful number since it is divisible by the number (42) 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 40402424132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62792643513600).

40402424132112 is an abundant number, since it is smaller than the sum of its proper divisors (85182862895088).

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

40402424132112 is a wasteful number, since it uses less digits than its factorization.

40402424132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56994 (or 56988 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 40402424132112 its reverse (21123142420404), we get a palindrome (61525566552516).

The spelling of 40402424132112 in words is "forty trillion, four hundred two billion, four hundred twenty-four million, one hundred thirty-two thousand, one hundred twelve".