40164362316 has 144 divisors (see below), whose sum is σ = 115892640864. Its totient is φ = 11618777088.

The previous prime is 40164362311. The next prime is 40164362323. The reversal of 40164362316 is 61326346104.

40164362316 is a `hidden beast` number, since 4 + 0 + 1 + 643 + 6 + 2 + 3 + 1 + 6 = 666.

40164362316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40164362316² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40164362311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9441646 + ... + 9445898.

It is an arithmetic number, because the mean of its divisors is an integer number (804810006).

Almost surely, 2^40164362316 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 40164362316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57946320432).

40164362316 is an abundant number, since it is smaller than the sum of its proper divisors (75728278548).

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

40164362316 is a wasteful number, since it uses less digits than its factorization.

40164362316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 40164362316 in words is "forty billion, one hundred sixty-four million, three hundred sixty-two thousand, three hundred sixteen".