40640585328 has 160 divisors (see below), whose sum is σ = 133450744320. Its totient is φ = 11600064000.

The previous prime is 40640585309. The next prime is 40640585347. The reversal of 40640585328 is 82358504604.

40640585328 is a `hidden beast` number, since 4 + 0 + 6 + 40 + 585 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (40640585309) and next prime (40640585347).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3311203 + ... + 3323453.

It is an arithmetic number, because the mean of its divisors is an integer number (834067152).

Almost surely, 2^40640585328 is an apocalyptic number.

40640585328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40640585328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66725372160).

40640585328 is an abundant number, since it is smaller than the sum of its proper divisors (92810158992).

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

40640585328 is a wasteful number, since it uses less digits than its factorization.

40640585328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13372 (or 13360 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 40640585328 in words is "forty billion, six hundred forty million, five hundred eighty-five thousand, three hundred twenty-eight".