10444638672160 has 384 divisors, whose sum is σ = 31638242926080. Its totient is φ = 3163218739200.

The previous prime is 10444638672089. The next prime is 10444638672187. The reversal of 10444638672160 is 6127683644401.

It is a junction number, because it is equal to n+sod(n) for n = 10444638672098 and 10444638672107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346879186 + ... + 346909294.

It is an arithmetic number, because the mean of its divisors is an integer number (82391257620).

Almost surely, 2^{10444638672160} is an apocalyptic number.

10444638672160 is a gapful number since it is divisible by the number (10) 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 10444638672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819121463040).

10444638672160 is an abundant number, since it is smaller than the sum of its proper divisors (21193604253920).

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

10444638672160 is a wasteful number, since it uses less digits than its factorization.

10444638672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30940 (or 30932 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 10444638672160 in words is "ten trillion, four hundred forty-four billion, six hundred thirty-eight million, six hundred seventy-two thousand, one hundred sixty".