40827985920 has 168 divisors, whose sum is σ = 141529656996. Its totient is φ = 10887364608.

The previous prime is 40827985901. The next prime is 40827985943. The reversal of 40827985920 is 2958972804.

40827985920 is a `hidden beast` number, since 40 + 8 + 2 + 7 + 9 + 8 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38278139904 + 2549846016 = 195648^2 + 50496^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313264 + ... + 424016.

Almost surely, 2^40827985920 is an apocalyptic number.

40827985920 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 40827985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70764828498).

40827985920 is an abundant number, since it is smaller than the sum of its proper divisors (100701671076).

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

40827985920 is a wasteful number, since it uses less digits than its factorization.

40827985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110790 (or 110763 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 40827985920 in words is "forty billion, eight hundred twenty-seven million, nine hundred eighty-five thousand, nine hundred twenty".