444132520000 has 280 divisors, whose sum is σ = 1193117249016. Its totient is φ = 163006464000.

The previous prime is 444132519989. The next prime is 444132520019. The reversal of 444132520000 is 25231444.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 437672218624 + 6460301376 = 661568^2 + 80376^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89957532 + ... + 89962468.

Almost surely, 2^444132520000 is an apocalyptic number.

444132520000 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 444132520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596558624508).

444132520000 is an abundant number, since it is smaller than the sum of its proper divisors (748984729016).

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

444132520000 is a wasteful number, since it uses less digits than its factorization.

444132520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 444132520000 its reverse (25231444), we get a palindrome (444157751444).

The spelling of 444132520000 in words is "four hundred forty-four billion, one hundred thirty-two million, five hundred twenty thousand".