4283916686400 has 1344 divisors, whose sum is σ = 16416239293440. Its totient is φ = 968608972800.

The previous prime is 4283916686353. The next prime is 4283916686477. The reversal of 4283916686400 is 46866193824.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 15465403062 + ... + 15465403338.

It is an arithmetic number, because the mean of its divisors is an integer number (12214463760).

Almost surely, 2^{4283916686400} is an apocalyptic number.

4283916686400 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 4283916686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8208119646720).

4283916686400 is an abundant number, since it is smaller than the sum of its proper divisors (12132322607040).

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

4283916686400 is a wasteful number, since it uses less digits than its factorization.

4283916686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 4283916686400 in words is "four trillion, two hundred eighty-three billion, nine hundred sixteen million, six hundred eighty-six thousand, four hundred".