40832893427040 has 2304 divisors, whose sum is σ = 175237875671040. Its totient is φ = 8517141135360.

The previous prime is 40832893427033. The next prime is 40832893427069. The reversal of 40832893427040 is 4072439823804.

40832893427040 is a `hidden beast` number, since 4 + 0 + 8 + 328 + 9 + 3 + 4 + 270 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30770830857 + ... + 30770832183.

It is an arithmetic number, because the mean of its divisors is an integer number (76058105760).

Almost surely, 2^{40832893427040} is an apocalyptic number.

40832893427040 is a gapful number since it is divisible by the number (40) 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 40832893427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87618937835520).

40832893427040 is an abundant number, since it is smaller than the sum of its proper divisors (134404982244000).

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

40832893427040 is a wasteful number, since it uses less digits than its factorization.

40832893427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 40832893427040 in words is "forty trillion, eight hundred thirty-two billion, eight hundred ninety-three million, four hundred twenty-seven thousand, forty".