40159013472 has 288 divisors, whose sum is σ = 129776774400. Its totient is φ = 11711056896.

The previous prime is 40159013467. The next prime is 40159013483. The reversal of 40159013472 is 27431095104.

40159013472 is a `hidden beast` number, since 401 + 59 + 0 + 134 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40159013472² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3644323 + ... + 3655325.

It is an arithmetic number, because the mean of its divisors is an integer number (450613800).

Almost surely, 2^40159013472 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 40159013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64888387200).

40159013472 is an abundant number, since it is smaller than the sum of its proper divisors (89617760928).

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

40159013472 is a wasteful number, since it uses less digits than its factorization.

40159013472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 40159013472 in words is "forty billion, one hundred fifty-nine million, thirteen thousand, four hundred seventy-two".