40325306112 has 576 divisors, whose sum is σ = 149315998720. Its totient is φ = 10450944000.

The previous prime is 40325306107. The next prime is 40325306141. The reversal of 40325306112 is 21160352304.

40325306112 is a `hidden beast` number, since 40 + 3 + 2 + 5 + 3 + 0 + 611 + 2 = 666.

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

It is a super-2 number, since 2×40325306112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38367987 + ... + 38369037.

Almost surely, 2^40325306112 is an apocalyptic number.

40325306112 is a gapful number since it is divisible by the number (42) 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 40325306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74657999360).

40325306112 is an abundant number, since it is smaller than the sum of its proper divisors (108990692608).

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

40325306112 is a wasteful number, since it uses less digits than its factorization.

40325306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 40325306112 its reverse (21160352304), we get a palindrome (61485658416).

The spelling of 40325306112 in words is "forty billion, three hundred twenty-five million, three hundred six thousand, one hundred twelve".