40633614404001 has 24 divisors (see below), whose sum is σ = 59287790211624. Its totient is φ = 26814680793600.

The previous prime is 40633614403997. The next prime is 40633614404041. The reversal of 40633614404001 is 10040441633604.

40633614404001 is a `hidden beast` number, since 4 + 0 + 6 + 33 + 614 + 4 + 0 + 4 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16335379307025 + 24298235096976 = 4041705^2 + 4929324^2 .

It is not a de Polignac number, because 40633614404001 - 2² = 40633614403997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40633614404041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211166 + ... + 9095831.

It is an arithmetic number, because the mean of its divisors is an integer number (2470324592151).

Almost surely, 2^{40633614404001} is an apocalyptic number.

It is an amenable number.

40633614404001 is a deficient number, since it is larger than the sum of its proper divisors (18654175807623).

40633614404001 is a wasteful number, since it uses less digits than its factorization.

40633614404001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10311441 (or 10311438 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 40633614404001 in words is "forty trillion, six hundred thirty-three billion, six hundred fourteen million, four hundred four thousand, one".