40991951682 has 96 divisors (see below), whose sum is σ = 102719245824. Its totient is φ = 11696140800.

The previous prime is 40991951587. The next prime is 40991951699. The reversal of 40991951682 is 28615919904.

40991951682 is a `hidden beast` number, since 40 + 9 + 9 + 1 + 9 + 516 + 82 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136858 + ... + 317354.

It is an arithmetic number, because the mean of its divisors is an integer number (1069992144).

Almost surely, 2^40991951682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40991951682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51359622912).

40991951682 is an abundant number, since it is smaller than the sum of its proper divisors (61727294142).

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

40991951682 is a wasteful number, since it uses less digits than its factorization.

40991951682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180584 (or 180581 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 40991951682 in words is "forty billion, nine hundred ninety-one million, nine hundred fifty-one thousand, six hundred eighty-two".