40181266944 has 840 divisors, whose sum is σ = 151686736740. Its totient is φ = 10597257216.

The previous prime is 40181266943. The next prime is 40181266973. The reversal of 40181266944 is 44966218104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40181266944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12518924544 + 27662342400 = 111888^2 + 166320^2 .

It is a super-2 number, since 2×40181266944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40181266944.

It is not an unprimeable number, because it can be changed into a prime (40181266943) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3090866682 + ... + 3090866694.

Almost surely, 2^40181266944 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 40181266944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75843368370).

40181266944 is an abundant number, since it is smaller than the sum of its proper divisors (111505469796).

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

40181266944 is an frugal number, since it uses more digits than its factorization.

40181266944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40181266944 in words is "forty billion, one hundred eighty-one million, two hundred sixty-six thousand, nine hundred forty-four".