444625004160 has 384 divisors, whose sum is σ = 1604490975360. Its totient is φ = 113242398720.

The previous prime is 444625004147. The next prime is 444625004167. The reversal of 444625004160 is 61400526444.

444625004160 is a `hidden beast` number, since 4 + 446 + 2 + 50 + 0 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (444625004167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105584455 + ... + 105588665.

It is an arithmetic number, because the mean of its divisors is an integer number (4178361915).

Almost surely, 2^444625004160 is an apocalyptic number.

444625004160 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 444625004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802245487680).

444625004160 is an abundant number, since it is smaller than the sum of its proper divisors (1159865971200).

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

444625004160 is a wasteful number, since it uses less digits than its factorization.

444625004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 444625004160 in words is "four hundred forty-four billion, six hundred twenty-five million, four thousand, one hundred sixty".