40776683092992 has 1056 divisors, whose sum is σ = 153942753070080. Its totient is φ = 10085671895040.

The previous prime is 40776683092987. The next prime is 40776683093023. The reversal of 40776683092992 is 29929038667704.

40776683092992 is a `hidden beast` number, since 407 + 76 + 68 + 3 + 0 + 9 + 2 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40776683092992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1502277373 + ... + 1502304515.

Almost surely, 2^{40776683092992} is an apocalyptic number.

40776683092992 is a gapful number since it is divisible by the number (42) 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 40776683092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76971376535040).

40776683092992 is an abundant number, since it is smaller than the sum of its proper divisors (113166069977088).

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

40776683092992 is a wasteful number, since it uses less digits than its factorization.

40776683092992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27289 (or 27268 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 40776683092992 in words is "forty trillion, seven hundred seventy-six billion, six hundred eighty-three million, ninety-two thousand, nine hundred ninety-two".