4120446456 has 192 divisors, whose sum is σ = 13499287200. Its totient is φ = 1160925696.

The previous prime is 4120446433. The next prime is 4120446461. The reversal of 4120446456 is 6546440214.

4120446456 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 4 + 4 + 645 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4120446456.

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 47 ways as a sum of consecutive naturals, for example, 769966 + ... + 775298.

Almost surely, 2^4120446456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120446456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749643600).

4120446456 is an abundant number, since it is smaller than the sum of its proper divisors (9378840744).

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

4120446456 is a wasteful number, since it uses less digits than its factorization.

4120446456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4120446456 is about 64190.7038129354. The cubic root of 4120446456 is about 1603.1768204992.

The spelling of 4120446456 in words is "four billion, one hundred twenty million, four hundred forty-six thousand, four hundred fifty-six".