40377080016 has 640 divisors, whose sum is σ = 149390438400. Its totient is φ = 10154833920.

The previous prime is 40377079979. The next prime is 40377080033. The reversal of 40377080016 is 61008077304.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121984971 + ... + 121985301.

It is an arithmetic number, because the mean of its divisors is an integer number (233422560).

Almost surely, 2^40377080016 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 40377080016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74695219200).

40377080016 is an abundant number, since it is smaller than the sum of its proper divisors (109013358384).

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

40377080016 is a wasteful number, since it uses less digits than its factorization.

40377080016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 40377080016 in words is "forty billion, three hundred seventy-seven million, eighty thousand, sixteen".