4406887083456 has 1344 divisors, whose sum is σ = 16698050643456. Its totient is φ = 1131488870400.

The previous prime is 4406887083419. The next prime is 4406887083479. The reversal of 4406887083456 is 6543807886044.

4406887083456 is a `hidden beast` number, since 4 + 40 + 68 + 8 + 7 + 0 + 83 + 456 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4406887083393 and 4406887083402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1550081971 + ... + 1550084813.

It is an arithmetic number, because the mean of its divisors is an integer number (12424144824).

Almost surely, 2^{4406887083456} 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 4406887083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349025321728).

4406887083456 is an abundant number, since it is smaller than the sum of its proper divisors (12291163560000).

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

4406887083456 is a wasteful number, since it uses less digits than its factorization.

4406887083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 4406887083456 in words is "four trillion, four hundred six billion, eight hundred eighty-seven million, eighty-three thousand, four hundred fifty-six".