40946327136 has 144 divisors (see below), whose sum is σ = 136798094160. Its totient is φ = 11453506560.

The previous prime is 40946327129. The next prime is 40946327141. The reversal of 40946327136 is 63172364904.

40946327136 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 632 + 7 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 40946327091 and 40946327100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455931 + ... + 538298.

It is an arithmetic number, because the mean of its divisors is an integer number (949986765).

Almost surely, 2^40946327136 is an apocalyptic number.

It is an amenable number.

40946327136 is an abundant number, since it is smaller than the sum of its proper divisors (95851767024).

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

40946327136 is a wasteful number, since it uses less digits than its factorization.

40946327136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994269 (or 994258 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 40946327136 in words is "forty billion, nine hundred forty-six million, three hundred twenty-seven thousand, one hundred thirty-six".