40859168640 has 256 divisors, whose sum is σ = 137632435200. Its totient is φ = 10281738240.

The previous prime is 40859168527. The next prime is 40859168689. The reversal of 40859168640 is 4686195804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9884014 + ... + 9888146.

It is an arithmetic number, because the mean of its divisors is an integer number (537626700).

Almost surely, 2^40859168640 is an apocalyptic number.

40859168640 is a gapful number since it is divisible by the number (40) 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 40859168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68816217600).

40859168640 is an abundant number, since it is smaller than the sum of its proper divisors (96773266560).

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

40859168640 is a wasteful number, since it uses less digits than its factorization.

40859168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 40859168640 in words is "forty billion, eight hundred fifty-nine million, one hundred sixty-eight thousand, six hundred forty".