40144632127272 has 80 divisors (see below), whose sum is σ = 112443045491700. Its totient is φ = 13381436390400.

The previous prime is 40144632127231. The next prime is 40144632127279. The reversal of 40144632127272 is 27272123644104.

40144632127272 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 4 + 632 + 1 + 2 + 7 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35785113628356 + 4359518498916 = 5982066^2 + 2087946^2 .

It is a super-2 number, since 2×40144632127272² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40144632127279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153503022 + ... + 153764322.

Almost surely, 2^{40144632127272} is an apocalyptic number.

It is an amenable number.

40144632127272 is an abundant number, since it is smaller than the sum of its proper divisors (72298413364428).

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

40144632127272 is a wasteful number, since it uses less digits than its factorization.

40144632127272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498408 (or 498395 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 40144632127272 in words is "forty trillion, one hundred forty-four billion, six hundred thirty-two million, one hundred twenty-seven thousand, two hundred seventy-two".