40468940160 has 512 divisors, whose sum is σ = 146362982400. Its totient is φ = 9425510400.

The previous prime is 40468940089. The next prime is 40468940191. The reversal of 40468940160 is 6104986404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58565415 + ... + 58566105.

It is an arithmetic number, because the mean of its divisors is an integer number (285865200).

Almost surely, 2^40468940160 is an apocalyptic number.

40468940160 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 40468940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73181491200).

40468940160 is an abundant number, since it is smaller than the sum of its proper divisors (105894042240).

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

40468940160 is a wasteful number, since it uses less digits than its factorization.

40468940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 40468940160 in words is "forty billion, four hundred sixty-eight million, nine hundred forty thousand, one hundred sixty".