40164552064 has 192 divisors, whose sum is σ = 100673828640. Its totient is φ = 15820406784.

The previous prime is 40164552047. The next prime is 40164552089. The reversal of 40164552064 is 46025546104.

It is a super-2 number, since 2×40164552064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21443032 + ... + 21444904.

Almost surely, 2^40164552064 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 40164552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50336914320).

40164552064 is an abundant number, since it is smaller than the sum of its proper divisors (60509276576).

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

40164552064 is a wasteful number, since it uses less digits than its factorization.

40164552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 40164552064 in words is "forty billion, one hundred sixty-four million, five hundred fifty-two thousand, sixty-four".