40377612672 has 128 divisors (see below), whose sum is σ = 119556403200. Its totient is φ = 13415569920.

The previous prime is 40377612647. The next prime is 40377612689. The reversal of 40377612672 is 27621677304.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056033 + ... + 1093599.

It is an arithmetic number, because the mean of its divisors is an integer number (934034400).

Almost surely, 2^40377612672 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 40377612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59778201600).

40377612672 is an abundant number, since it is smaller than the sum of its proper divisors (79178790528).

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

40377612672 is a wasteful number, since it uses less digits than its factorization.

40377612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37901 (or 37883 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 40377612672 in words is "forty billion, three hundred seventy-seven million, six hundred twelve thousand, six hundred seventy-two".