40068788659200 has 2772 divisors, whose sum is σ = 177430142918160. Its totient is φ = 8936811233280.

The previous prime is 40068788659121. The next prime is 40068788659223. The reversal of 40068788659200 is 295688786004.

40068788659200 is a `hidden beast` number, since 400 + 6 + 8 + 7 + 88 + 65 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 39321676291 + ... + 39321677309.

Almost surely, 2^{40068788659200} is an apocalyptic number.

40068788659200 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 40068788659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88715071459080).

40068788659200 is an abundant number, since it is smaller than the sum of its proper divisors (137361354258960).

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

40068788659200 is a wasteful number, since it uses less digits than its factorization.

40068788659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 40068788659200 in words is "forty trillion, sixty-eight billion, seven hundred eighty-eight million, six hundred fifty-nine thousand, two hundred".