40766444466704 has 80 divisors (see below), whose sum is σ = 89913803255424. Its totient is φ = 17724138854400.

The previous prime is 40766444466703. The next prime is 40766444466721.

It is a happy number.

40766444466704 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40766444466704² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40766444466703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241261352 + ... + 241430264.

Almost surely, 2^{40766444466704} is an apocalyptic number.

40766444466704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40766444466704 is an abundant number, since it is smaller than the sum of its proper divisors (49147358788720).

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

40766444466704 is a wasteful number, since it uses less digits than its factorization.

40766444466704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228576 (or 228570 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 62.

The spelling of 40766444466704 in words is "forty trillion, seven hundred sixty-six billion, four hundred forty-four million, four hundred sixty-six thousand, seven hundred four".