444484869120 has 528 divisors, whose sum is σ = 1681321299840. Its totient is φ = 112284942336.

The previous prime is 444484869119. The next prime is 444484869131. The reversal of 444484869120 is 21968484444.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23629639 + ... + 23648441.

Almost surely, 2^444484869120 is an apocalyptic number.

444484869120 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 444484869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840660649920).

444484869120 is an abundant number, since it is smaller than the sum of its proper divisors (1236836430720).

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

444484869120 is a wasteful number, since it uses less digits than its factorization.

444484869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18862 (or 18832 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 444484869120 in words is "four hundred forty-four billion, four hundred eighty-four million, eight hundred sixty-nine thousand, one hundred twenty".