40307682201984 has 256 divisors, whose sum is σ = 119777199825600. Its totient is φ = 13344090439680.

The previous prime is 40307682201973. The next prime is 40307682202087. The reversal of 40307682201984 is 48910228670304.

40307682201984 is a `hidden beast` number, since 40 + 307 + 6 + 8 + 2 + 201 + 98 + 4 = 666.

It is a super-2 number, since 2×40307682201984² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40307682201984.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1246317654 + ... + 1246349994.

Almost surely, 2^{40307682201984} 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 40307682201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59888599912800).

40307682201984 is an abundant number, since it is smaller than the sum of its proper divisors (79469517623616).

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

40307682201984 is a wasteful number, since it uses less digits than its factorization.

40307682201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34818 (or 34800 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 40307682201984 in words is "forty trillion, three hundred seven billion, six hundred eighty-two million, two hundred one thousand, nine hundred eighty-four".