40964748328 has 96 divisors (see below), whose sum is σ = 90884064960. Its totient is φ = 17256395520.

The previous prime is 40964748317. The next prime is 40964748337. The reversal of 40964748328 is 82384746904.

It is a super-2 number, since 2×40964748328² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8897275 + ... + 8901877.

It is an arithmetic number, because the mean of its divisors is an integer number (946709010).

Almost surely, 2^40964748328 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 40964748328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45442032480).

40964748328 is an abundant number, since it is smaller than the sum of its proper divisors (49919316632).

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

40964748328 is a wasteful number, since it uses less digits than its factorization.

40964748328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 40964748328 in words is "forty billion, nine hundred sixty-four million, seven hundred forty-eight thousand, three hundred twenty-eight".