444401279520 has 384 divisors, whose sum is σ = 1544628621312. Its totient is φ = 106505625600.

The previous prime is 444401279519. The next prime is 444401279579. The reversal of 444401279520 is 25972104444.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196029427 + ... + 196031693.

It is an arithmetic number, because the mean of its divisors is an integer number (4022470368).

Almost surely, 2^444401279520 is an apocalyptic number.

444401279520 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 444401279520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772314310656).

444401279520 is an abundant number, since it is smaller than the sum of its proper divisors (1100227341792).

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

444401279520 is a wasteful number, since it uses less digits than its factorization.

444401279520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 444401279520 in words is "four hundred forty-four billion, four hundred one million, two hundred seventy-nine thousand, five hundred twenty".