40681789690176 has 224 divisors, whose sum is σ = 126353328192000. Its totient is φ = 12814414792704.

The previous prime is 40681789690163. The next prime is 40681789690177. The reversal of 40681789690176 is 67109698718604.

40681789690176 is a `hidden beast` number, since 406 + 8 + 17 + 89 + 69 + 0 + 1 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40681789690177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6281091 + ... + 10991618.

It is an arithmetic number, because the mean of its divisors is an integer number (564077358000).

Almost surely, 2^{40681789690176} is an apocalyptic number.

It is an amenable number.

40681789690176 is an abundant number, since it is smaller than the sum of its proper divisors (85671538501824).

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

40681789690176 is a wasteful number, since it uses less digits than its factorization.

40681789690176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272806 (or 17272790 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 40681789690176 in words is "forty trillion, six hundred eighty-one billion, seven hundred eighty-nine million, six hundred ninety thousand, one hundred seventy-six".