444400434720 has 960 divisors, whose sum is σ = 1770969505536. Its totient is φ = 104001822720.

The previous prime is 444400434661. The next prime is 444400434727. The reversal of 444400434720 is 27434004444.

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

It is not an unprimeable number, because it can be changed into a prime (444400434727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 912526317 + ... + 912526803.

Almost surely, 2^444400434720 is an apocalyptic number.

444400434720 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 444400434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885484752768).

444400434720 is an abundant number, since it is smaller than the sum of its proper divisors (1326569070816).

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

444400434720 is a wasteful number, since it uses less digits than its factorization.

444400434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 36.

The spelling of 444400434720 in words is "four hundred forty-four billion, four hundred million, four hundred thirty-four thousand, seven hundred twenty".