4496286412800 has 4680 divisors, whose sum is σ = 22360510773216. Its totient is φ = 882895749120.

The previous prime is 4496286412733. The next prime is 4496286412801. The reversal of 4496286412800 is 82146826944.

It is a happy number.

4496286412800 is a `hidden beast` number, since 4 + 4 + 9 + 628 + 6 + 4 + 1 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4680).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4496286412801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 121521254382 + ... + 121521254418.

Almost surely, 2^{4496286412800} is an apocalyptic number.

4496286412800 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 4496286412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11180255386608).

4496286412800 is an abundant number, since it is smaller than the sum of its proper divisors (17864224360416).

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

4496286412800 is a wasteful number, since it uses less digits than its factorization.

4496286412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4496286412800 in words is "four trillion, four hundred ninety-six billion, two hundred eighty-six million, four hundred twelve thousand, eight hundred".