40917907752960 has 1536 divisors, whose sum is σ = 162773870837760. Its totient is φ = 8570083737600.

The previous prime is 40917907752949. The next prime is 40917907752989. The reversal of 40917907752960 is 6925770971904.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 40917907752891 and 40917907752900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15792321265 + ... + 15792323855.

It is an arithmetic number, because the mean of its divisors is an integer number (105972572160).

Almost surely, 2^{40917907752960} is an apocalyptic number.

40917907752960 is a gapful number since it is divisible by the number (40) 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 40917907752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81386935418880).

40917907752960 is an abundant number, since it is smaller than the sum of its proper divisors (121855963084800).

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

40917907752960 is a wasteful number, since it uses less digits than its factorization.

40917907752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 66.

The spelling of 40917907752960 in words is "forty trillion, nine hundred seventeen billion, nine hundred seven million, seven hundred fifty-two thousand, nine hundred sixty".