4090925393856 has 1120 divisors, whose sum is σ = 14987176934400. Its totient is φ = 1100592396288.

The previous prime is 4090925393803. The next prime is 4090925393857. The reversal of 4090925393856 is 6583935290904.

4090925393856 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 92 + 539 + 3 + 8 + 5 + 6 = 666.

It is a super-3 number, since 3×4090925393856³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4090925393793 and 4090925393802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090925393857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2740069846 + ... + 2740071338.

Almost surely, 2^{4090925393856} is an apocalyptic number.

4090925393856 is a gapful number since it is divisible by the number (46) 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 4090925393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493588467200).

4090925393856 is an abundant number, since it is smaller than the sum of its proper divisors (10896251540544).

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

4090925393856 is a wasteful number, since it uses less digits than its factorization.

4090925393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 4090925393856 in words is "four trillion, ninety billion, nine hundred twenty-five million, three hundred ninety-three thousand, eight hundred fifty-six".