4092251904000 has 1152 divisors, whose sum is σ = 15972053610240. Its totient is φ = 1001816064000.

The previous prime is 4092251903953. The next prime is 4092251904019. The reversal of 4092251904000 is 4091522904.

4092251904000 is a `hidden beast` number, since 40 + 9 + 2 + 25 + 190 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 9494783785 + ... + 9494784215.

It is an arithmetic number, because the mean of its divisors is an integer number (13864629870).

Almost surely, 2^{4092251904000} is an apocalyptic number.

4092251904000 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 4092251904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986026805120).

4092251904000 is an abundant number, since it is smaller than the sum of its proper divisors (11879801706240).

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

4092251904000 is a wasteful number, since it uses less digits than its factorization.

4092251904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 4092251904000 in words is "four trillion, ninety-two billion, two hundred fifty-one million, nine hundred four thousand".