40401664380 has 480 divisors, whose sum is σ = 158597429760. Its totient is φ = 8364280320.

The previous prime is 40401664363. The next prime is 40401664399. The reversal of 40401664380 is 8346610404.

40401664380 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 1 + 6 + 643 + 8 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 52265674 + ... + 52266446.

It is an arithmetic number, because the mean of its divisors is an integer number (330411312).

Almost surely, 2^40401664380 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 40401664380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79298714880).

40401664380 is an abundant number, since it is smaller than the sum of its proper divisors (118195765380).

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

40401664380 is a wasteful number, since it uses less digits than its factorization.

40401664380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40401664380 in words is "forty billion, four hundred one million, six hundred sixty-four thousand, three hundred eighty".