40866840576000 has 1520 divisors, whose sum is σ = 154978272511920. Its totient is φ = 10713091276800.

The previous prime is 40866840575983. The next prime is 40866840576031. The reversal of 40866840576000 is 67504866804.

40866840576000 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 68 + 4 + 0 + 576 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10493867851776 + 30372972724224 = 3239424^2 + 5511168^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236224511914 + ... + 236224512086.

Almost surely, 2^{40866840576000} is an apocalyptic number.

40866840576000 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 40866840576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77489136255960).

40866840576000 is an abundant number, since it is smaller than the sum of its proper divisors (114111431935920).

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

40866840576000 is an frugal number, since it uses more digits than its factorization.

40866840576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40866840576000 in words is "forty trillion, eight hundred sixty-six billion, eight hundred forty million, five hundred seventy-six thousand".