40352027664 has 160 divisors (see below), whose sum is σ = 116262558720. Its totient is φ = 11980491264.

The previous prime is 40352027663. The next prime is 40352027693. The reversal of 40352027664 is 46672025304.

It is a super-2 number, since 2×40352027664² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (40352027663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2217997 + ... + 2236115.

It is an arithmetic number, because the mean of its divisors is an integer number (726640992).

Almost surely, 2^40352027664 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 40352027664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58131279360).

40352027664 is an abundant number, since it is smaller than the sum of its proper divisors (75910531056).

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

40352027664 is a wasteful number, since it uses less digits than its factorization.

40352027664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18269 (or 18263 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 40352027664 in words is "forty billion, three hundred fifty-two million, twenty-seven thousand, six hundred sixty-four".