40960136308770 has 320 divisors, whose sum is σ = 132529744385280. Its totient is φ = 8867300884992.

The previous prime is 40960136308753. The next prime is 40960136308823. The reversal of 40960136308770 is 7780363106904.

40960136308770 is a `hidden beast` number, since 409 + 6 + 0 + 136 + 30 + 8 + 7 + 70 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 440892444 + ... + 440985336.

It is an arithmetic number, because the mean of its divisors is an integer number (414155451204).

Almost surely, 2^{40960136308770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40960136308770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66264872192640).

40960136308770 is an abundant number, since it is smaller than the sum of its proper divisors (91569608076510).

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

40960136308770 is a wasteful number, since it uses less digits than its factorization.

40960136308770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97031 (or 97022 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 40960136308770 in words is "forty trillion, nine hundred sixty billion, one hundred thirty-six million, three hundred eight thousand, seven hundred seventy".