40791206664 has 160 divisors (see below), whose sum is σ = 123554397120. Its totient is φ = 12550510656.

The previous prime is 40791206663. The next prime is 40791206681. The reversal of 40791206664 is 46660219704.

40791206664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40791206664² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40791206663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2037069 + ... + 2056995.

It is an arithmetic number, because the mean of its divisors is an integer number (772214982).

Almost surely, 2^40791206664 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 40791206664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61777198560).

40791206664 is an abundant number, since it is smaller than the sum of its proper divisors (82763190456).

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

40791206664 is an equidigital number, since it uses as much as digits as its factorization.

40791206664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19973 (or 19945 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40791206664 in words is "forty billion, seven hundred ninety-one million, two hundred six thousand, six hundred sixty-four".