40134317024844 has 576 divisors, whose sum is σ = 129657965359104. Its totient is φ = 10198234202112.

The previous prime is 40134317024843. The next prime is 40134317024897. The reversal of 40134317024844 is 44842071343104.

40134317024844 is a `hidden beast` number, since 4 + 0 + 134 + 31 + 7 + 0 + 2 + 484 + 4 = 666.

It is a super-2 number, since 2×40134317024844² (a number of 28 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 40134317024844.

It is not an unprimeable number, because it can be changed into a prime (40134317024843) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4394424102 + ... + 4394433234.

It is an arithmetic number, because the mean of its divisors is an integer number (225100634304).

Almost surely, 2^{40134317024844} 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 40134317024844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64828982679552).

40134317024844 is an abundant number, since it is smaller than the sum of its proper divisors (89523648334260).

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

40134317024844 is a wasteful number, since it uses less digits than its factorization.

40134317024844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

Adding to 40134317024844 its reverse (44842071343104), we get a palindrome (84976388367948).

The spelling of 40134317024844 in words is "forty trillion, one hundred thirty-four billion, three hundred seventeen million, twenty-four thousand, eight hundred forty-four".