40681914351975 has 72 divisors (see below), whose sum is σ = 78718436614272. Its totient is φ = 19964839046400.

The previous prime is 40681914351943. The next prime is 40681914352003. The reversal of 40681914351975 is 57915341918604.

40681914351975 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 1 + 9 + 1 + 43 + 519 + 75 = 666.

It is not a de Polignac number, because 40681914351975 - 2⁵ = 40681914351943 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21010231 + ... + 22864680.

Almost surely, 2^{40681914351975} is an apocalyptic number.

40681914351975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40681914351975 is a deficient number, since it is larger than the sum of its proper divisors (38036522262297).

40681914351975 is a wasteful number, since it uses less digits than its factorization.

40681914351975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43875257 (or 43875249 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 40681914351975 in words is "forty trillion, six hundred eighty-one billion, nine hundred fourteen million, three hundred fifty-one thousand, nine hundred seventy-five".