40023127810944 has 640 divisors, whose sum is σ = 124490712931200. Its totient is φ = 12754394763264.

The previous prime is 40023127810933. The next prime is 40023127810999. The reversal of 40023127810944 is 44901872132004.

40023127810944 is a `hidden beast` number, since 4 + 0 + 0 + 231 + 278 + 109 + 44 = 666.

It is a super-3 number, since 3×40023127810944³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40023127810944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4033364767 + ... + 4033374689.

It is an arithmetic number, because the mean of its divisors is an integer number (194516738955).

Almost surely, 2^{40023127810944} 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 40023127810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62245356465600).

40023127810944 is an abundant number, since it is smaller than the sum of its proper divisors (84467585120256).

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

40023127810944 is a wasteful number, since it uses less digits than its factorization.

40023127810944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10184 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 40023127810944 its reverse (44901872132004), we get a palindrome (84924999942948).

The spelling of 40023127810944 in words is "forty trillion, twenty-three billion, one hundred twenty-seven million, eight hundred ten thousand, nine hundred forty-four".