40906140912 has 320 divisors, whose sum is σ = 148422722560. Its totient is φ = 10496480256.

The previous prime is 40906140851. The next prime is 40906141007. The reversal of 40906140912 is 21904160904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1440483 + ... + 1468605.

It is an arithmetic number, because the mean of its divisors is an integer number (463821008).

Almost surely, 2^40906140912 is an apocalyptic number.

40906140912 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 40906140912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74211361280).

40906140912 is an abundant number, since it is smaller than the sum of its proper divisors (107516581648).

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

40906140912 is a wasteful number, since it uses less digits than its factorization.

40906140912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28197 (or 28185 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 40906140912 in words is "forty billion, nine hundred six million, one hundred forty thousand, nine hundred twelve".