40692921244560 has 600 divisors, whose sum is σ = 162043025803560. Its totient is φ = 9427495993344.

The previous prime is 40692921244523. The next prime is 40692921244589. The reversal of 40692921244560 is 6544212929604.

It is a happy number.

40692921244560 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 29 + 2 + 12 + 44 + 560 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8687968471296 + 32004952773264 = 2947536^2 + 5657292^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 40692921244497 and 40692921244506.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17524146 + ... + 19709934.

Almost surely, 2^{40692921244560} is an apocalyptic number.

40692921244560 is a gapful number since it is divisible by the number (40) 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 40692921244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81021512901780).

40692921244560 is an abundant number, since it is smaller than the sum of its proper divisors (121350104559000).

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

40692921244560 is a wasteful number, since it uses less digits than its factorization.

40692921244560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185857 (or 2185829 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 40692921244560 in words is "forty trillion, six hundred ninety-two billion, nine hundred twenty-one million, two hundred forty-four thousand, five hundred sixty".