4044686822400 has 1056 divisors, whose sum is σ = 16163832019968. Its totient is φ = 871995801600.

The previous prime is 4044686822389. The next prime is 4044686822419. The reversal of 4044686822400 is 42286864404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4044686822400.

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 95 ways as a sum of consecutive naturals, for example, 902628160 + ... + 902632640.

Almost surely, 2^{4044686822400} is an apocalyptic number.

4044686822400 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 4044686822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081916009984).

4044686822400 is an abundant number, since it is smaller than the sum of its proper divisors (12119145197568).

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

4044686822400 is a wasteful number, since it uses less digits than its factorization.

4044686822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 4044686822400 in words is "four trillion, forty-four billion, six hundred eighty-six million, eight hundred twenty-two thousand, four hundred".