40202243689608 has 1152 divisors, whose sum is σ = 152983840988160. Its totient is φ = 9624339648000.

The previous prime is 40202243689607. The next prime is 40202243689633. The reversal of 40202243689608 is 80698634220204.

40202243689608 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 2 + 24 + 3 + 6 + 8 + 9 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40202243689607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22497057691 + ... + 22497059477.

It is an arithmetic number, because the mean of its divisors is an integer number (132798473080).

Almost surely, 2^{40202243689608} 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 40202243689608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76491920494080).

40202243689608 is an abundant number, since it is smaller than the sum of its proper divisors (112781597298552).

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

40202243689608 is a wasteful number, since it uses less digits than its factorization.

40202243689608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 40202243689608 in words is "forty trillion, two hundred two billion, two hundred forty-three million, six hundred eighty-nine thousand, six hundred eight".