40895906112 has 168 divisors, whose sum is σ = 127003795776. Its totient is φ = 12531585024.

The previous prime is 40895906101. The next prime is 40895906113. The reversal of 40895906112 is 21160959804.

40895906112 is a `hidden beast` number, since 40 + 8 + 9 + 590 + 6 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40895906113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372493 + ... + 469619.

Almost surely, 2^40895906112 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 40895906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63501897888).

40895906112 is an abundant number, since it is smaller than the sum of its proper divisors (86107889664).

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

40895906112 is a wasteful number, since it uses less digits than its factorization.

40895906112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97205 (or 97192 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 40895906112 in words is "forty billion, eight hundred ninety-five million, nine hundred six thousand, one hundred twelve".