444406350126160 has 160 divisors (see below), whose sum is σ = 1049099014080000. Its totient is φ = 175047003955200.

The previous prime is 444406350126143. The next prime is 444406350126199. The reversal of 444406350126160 is 61621053604444.

It is a super-2 number, since 2×444406350126160² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444406350126160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24707076687 + ... + 24707094673.

It is an arithmetic number, because the mean of its divisors is an integer number (6556868838000).

Almost surely, 2^{444406350126160} is an apocalyptic number.

444406350126160 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 444406350126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524549507040000).

444406350126160 is an abundant number, since it is smaller than the sum of its proper divisors (604692663953840).

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

444406350126160 is a wasteful number, since it uses less digits than its factorization.

444406350126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28229 (or 28223 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 444406350126160 in words is "four hundred forty-four trillion, four hundred six billion, three hundred fifty million, one hundred twenty-six thousand, one hundred sixty".