40117325040 has 240 divisors, whose sum is σ = 152728037280. Its totient is φ = 9355253760.

The previous prime is 40117324987. The next prime is 40117325047. The reversal of 40117325040 is 4052371104.

40117325040 is a `hidden beast` number, since 40 + 117 + 3 + 2 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×40117325040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40117324995 and 40117325013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40117325047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65050 + ... + 290630.

It is an arithmetic number, because the mean of its divisors is an integer number (636366822).

Almost surely, 2^40117325040 is an apocalyptic number.

40117325040 is a gapful number since it is divisible by the number (40) 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 40117325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76364018640).

40117325040 is an abundant number, since it is smaller than the sum of its proper divisors (112610712240).

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

40117325040 is a wasteful number, since it uses less digits than its factorization.

40117325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225632 (or 225623 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 40117325040 its reverse (4052371104), we get a palindrome (44169696144).

It can be divided in two parts, 401 and 17325040, that added together give a triangular number (17325441 = T₅₈₈₆).

The spelling of 40117325040 in words is "forty billion, one hundred seventeen million, three hundred twenty-five thousand, forty".