4092793891200 has 864 divisors, whose sum is σ = 17615300517360. Its totient is φ = 886243368960.

The previous prime is 4092793891187. The next prime is 4092793891211. The reversal of 4092793891200 is 21983972904.

4092793891200 is a `hidden beast` number, since 409 + 27 + 9 + 3 + 8 + 9 + 1 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 72749482 + ... + 72805718.

Almost surely, 2^{4092793891200} is an apocalyptic number.

4092793891200 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 4092793891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807650258680).

4092793891200 is an abundant number, since it is smaller than the sum of its proper divisors (13522506626160).

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

4092793891200 is a wasteful number, since it uses less digits than its factorization.

4092793891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56312 (or 56273 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 4092793891200 in words is "four trillion, ninety-two billion, seven hundred ninety-three million, eight hundred ninety-one thousand, two hundred".