40434171313536 has 576 divisors, whose sum is σ = 159012661626000. Its totient is φ = 9694504673280.

The previous prime is 40434171313513. The next prime is 40434171313541. The reversal of 40434171313536 is 63531317143404.

40434171313536 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 41 + 71 + 3 + 1 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 40434171313491 and 40434171313500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5567490 + ... + 10576638.

Almost surely, 2^{40434171313536} 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 40434171313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79506330813000).

40434171313536 is an abundant number, since it is smaller than the sum of its proper divisors (118578490312464).

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

40434171313536 is a wasteful number, since it uses less digits than its factorization.

40434171313536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009207 (or 5009185 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 40434171313536 in words is "forty trillion, four hundred thirty-four billion, one hundred seventy-one million, three hundred thirteen thousand, five hundred thirty-six".