40159129056 has 144 divisors (see below), whose sum is σ = 110480194944. Its totient is φ = 12770016000.

The previous prime is 40159129013. The next prime is 40159129061. The reversal of 40159129056 is 65092195104.

It is a super-2 number, since 2×40159129056² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40159128999 and 40159129017.

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, 6547111 + ... + 6553241.

It is an arithmetic number, because the mean of its divisors is an integer number (767223576).

Almost surely, 2^40159129056 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 40159129056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55240097472).

40159129056 is an abundant number, since it is smaller than the sum of its proper divisors (70321065888).

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

40159129056 is a wasteful number, since it uses less digits than its factorization.

40159129056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 40159129056 in words is "forty billion, one hundred fifty-nine million, one hundred twenty-nine thousand, fifty-six".