4400672986464 has 96 divisors (see below), whose sum is σ = 11625381605376. Its totient is φ = 1457560442880.

The previous prime is 4400672986403. The next prime is 4400672986513. The reversal of 4400672986464 is 4646892760044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4400672986398 and 4400672986407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16128744 + ... + 16399320.

It is an arithmetic number, because the mean of its divisors is an integer number (121097725056).

Almost surely, 2^{4400672986464} 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 4400672986464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812690802688).

4400672986464 is an abundant number, since it is smaller than the sum of its proper divisors (7224708618912).

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

4400672986464 is a wasteful number, since it uses less digits than its factorization.

4400672986464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271668 (or 271660 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 4400672986464 in words is "four trillion, four hundred billion, six hundred seventy-two million, nine hundred eighty-six thousand, four hundred sixty-four".