40966664256 has 336 divisors, whose sum is σ = 141657384960. Its totient is φ = 11057679360.

The previous prime is 40966664231. The next prime is 40966664257. The reversal of 40966664256 is 65246666904.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (40966664257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44968441 + ... + 44969351.

It is an arithmetic number, because the mean of its divisors is an integer number (421599360).

Almost surely, 2^40966664256 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 40966664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70828692480).

40966664256 is an abundant number, since it is smaller than the sum of its proper divisors (100690720704).

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

40966664256 is a wasteful number, since it uses less digits than its factorization.

40966664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 40966664256 in words is "forty billion, nine hundred sixty-six million, six hundred sixty-four thousand, two hundred fifty-six".