40401131168 has 48 divisors (see below), whose sum is σ = 81807662664. Its totient is φ = 19626163200.

The previous prime is 40401131167. The next prime is 40401131189. The reversal of 40401131168 is 86113110404.

It can be written as a sum of positive squares in 4 ways, for example, as 40235545744 + 165585424 = 200588^2 + 12868^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40401131168.

It is not an unprimeable number, because it can be changed into a prime (40401131167) 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 7 ways as a sum of consecutive naturals, for example, 805646 + ... + 854322.

Almost surely, 2^40401131168 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 40401131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40903831332).

40401131168 is an abundant number, since it is smaller than the sum of its proper divisors (41406531496).

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

40401131168 is a wasteful number, since it uses less digits than its factorization.

40401131168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49425 (or 49417 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 40401131168 in words is "forty billion, four hundred one million, one hundred thirty-one thousand, one hundred sixty-eight".