10444412160 has 1152 divisors, whose sum is σ = 47305681920. Its totient is φ = 2149908480.

The previous prime is 10444412137. The next prime is 10444412189. The reversal of 10444412160 is 6121444401.

10444412160 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 441 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254741740 + ... + 254741780.

It is an arithmetic number, because the mean of its divisors is an integer number (41063960).

Almost surely, 2^10444412160 is an apocalyptic number.

10444412160 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 10444412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23652840960).

10444412160 is an abundant number, since it is smaller than the sum of its proper divisors (36861269760).

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

10444412160 is an frugal number, since it uses more digits than its factorization.

10444412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10444412160 its reverse (6121444401), we get a palindrome (16565856561).

The spelling of 10444412160 in words is "ten billion, four hundred forty-four million, four hundred twelve thousand, one hundred sixty".