40122560616768 has 1344 divisors, whose sum is σ = 153217195622400. Its totient is φ = 10147030548480.

The previous prime is 40122560616731. The next prime is 40122560616791. The reversal of 40122560616768 is 86761606522104.

40122560616768 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 2 + 560 + 6 + 1 + 6 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1859495196 + ... + 1859516772.

It is an arithmetic number, because the mean of its divisors is an integer number (114000889600).

Almost surely, 2^{40122560616768} is an apocalyptic number.

40122560616768 is a gapful number since it is divisible by the number (48) 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 40122560616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608597811200).

40122560616768 is an abundant number, since it is smaller than the sum of its proper divisors (113094635005632).

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

40122560616768 is a wasteful number, since it uses less digits than its factorization.

40122560616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21690 (or 21668 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40122560616768 in words is "forty trillion, one hundred twenty-two billion, five hundred sixty million, six hundred sixteen thousand, seven hundred sixty-eight".