444840400800 has 720 divisors, whose sum is σ = 1757805743232. Its totient is φ = 109038182400.

The previous prime is 444840400759. The next prime is 444840400811. The reversal of 444840400800 is 8004048444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47364105 + ... + 47373495.

Almost surely, 2^444840400800 is an apocalyptic number.

444840400800 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 444840400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878902871616).

444840400800 is an abundant number, since it is smaller than the sum of its proper divisors (1312965342432).

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

444840400800 is a wasteful number, since it uses less digits than its factorization.

444840400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9483 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 444840400800 in words is "four hundred forty-four billion, eight hundred forty million, four hundred thousand, eight hundred".