40882133376 has 512 divisors, whose sum is σ = 144315801600. Its totient is φ = 11287019520.

The previous prime is 40882133363. The next prime is 40882133381. The reversal of 40882133376 is 67333128804.

40882133376 is a `hidden beast` number, since 408 + 82 + 133 + 37 + 6 = 666.

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, 60745776 + ... + 60746448.

It is an arithmetic number, because the mean of its divisors is an integer number (281866800).

Almost surely, 2^40882133376 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 40882133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72157900800).

40882133376 is an abundant number, since it is smaller than the sum of its proper divisors (103433668224).

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

40882133376 is an frugal number, since it uses more digits than its factorization.

40882133376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40882133376 in words is "forty billion, eight hundred eighty-two million, one hundred thirty-three thousand, three hundred seventy-six".