40134823432704 has 1280 divisors, whose sum is σ = 160928059944960. Its totient is φ = 9537206353920.

The previous prime is 40134823432603. The next prime is 40134823432723. The reversal of 40134823432704 is 40723432843104.

40134823432704 is a `hidden beast` number, since 4 + 0 + 1 + 34 + 8 + 2 + 343 + 270 + 4 = 666.

It is a super-2 number, since 2×40134823432704² (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 40134823432704.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1563661279 + ... + 1563686945.

It is an arithmetic number, because the mean of its divisors is an integer number (125725046832).

Almost surely, 2^{40134823432704} is an apocalyptic number.

40134823432704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134823432704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80464029972480).

40134823432704 is an abundant number, since it is smaller than the sum of its proper divisors (120793236512256).

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

40134823432704 is a wasteful number, since it uses less digits than its factorization.

40134823432704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25838 (or 25816 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 40134823432704 in words is "forty trillion, one hundred thirty-four billion, eight hundred twenty-three million, four hundred thirty-two thousand, seven hundred four".