40377456275968 has 320 divisors, whose sum is σ = 97058040887808. Its totient is φ = 16406951362560.

The previous prime is 40377456275951. The next prime is 40377456275983. The reversal of 40377456275968 is 86957265477304.

It is a self number, because there is not a number n which added to its sum of digits gives 40377456275968.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4729696596 + ... + 4729705132.

Almost surely, 2^{40377456275968} 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 40377456275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48529020443904).

40377456275968 is an abundant number, since it is smaller than the sum of its proper divisors (56680584611840).

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

40377456275968 is a wasteful number, since it uses less digits than its factorization.

40377456275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9083 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 73.

The spelling of 40377456275968 in words is "forty trillion, three hundred seventy-seven billion, four hundred fifty-six million, two hundred seventy-five thousand, nine hundred sixty-eight".