40797961833312 has 240 divisors, whose sum is σ = 120295465500672. Its totient is φ = 13564254816000.

The previous prime is 40797961833269. The next prime is 40797961833373. The reversal of 40797961833312 is 21333816979704.

It is a happy number.

40797961833312 is a `hidden beast` number, since 4 + 0 + 7 + 9 + 7 + 9 + 618 + 3 + 3 + 3 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40797961833312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1609818913 + ... + 1609844255.

Almost surely, 2^{40797961833312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40797961833312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147732750336).

40797961833312 is an abundant number, since it is smaller than the sum of its proper divisors (79497503667360).

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

40797961833312 is a wasteful number, since it uses less digits than its factorization.

40797961833312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26943 (or 26926 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 40797961833312 in words is "forty trillion, seven hundred ninety-seven billion, nine hundred sixty-one million, eight hundred thirty-three thousand, three hundred twelve".