40157945168 has 80 divisors (see below), whose sum is σ = 88951913856. Its totient is φ = 17384632320.

The previous prime is 40157945167. The next prime is 40157945171. The reversal of 40157945168 is 86154975104.

It is a super-2 number, since 2×40157945168² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40157945161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921896 + ... + 964472.

Almost surely, 2^40157945168 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 40157945168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44475956928).

40157945168 is an abundant number, since it is smaller than the sum of its proper divisors (48793968688).

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

40157945168 is a wasteful number, since it uses less digits than its factorization.

40157945168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42852 (or 42846 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 40157945168 in words is "forty billion, one hundred fifty-seven million, nine hundred forty-five thousand, one hundred sixty-eight".