40846133977536 has 224 divisors, whose sum is σ = 109116332236800. Its totient is φ = 13484514294784.

The previous prime is 40846133977513. The next prime is 40846133977619. The reversal of 40846133977536 is 63577933164804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11274117421 + ... + 11274121043.

It is an arithmetic number, because the mean of its divisors is an integer number (487126483200).

Almost surely, 2^{40846133977536} 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 40846133977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54558166118400).

40846133977536 is an abundant number, since it is smaller than the sum of its proper divisors (68270198259264).

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

40846133977536 is a wasteful number, since it uses less digits than its factorization.

40846133977536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 66.

The spelling of 40846133977536 in words is "forty trillion, eight hundred forty-six billion, one hundred thirty-three million, nine hundred seventy-seven thousand, five hundred thirty-six".