444121574400 has 2376 divisors, whose sum is σ = 2022306564096. Its totient is φ = 96148684800.

The previous prime is 444121574371. The next prime is 444121574459. The reversal of 444121574400 is 4475121444.

444121574400 is a `hidden beast` number, since 4 + 4 + 41 + 2 + 1 + 574 + 40 + 0 = 666.

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

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 9449395177 + ... + 9449395223.

Almost surely, 2^444121574400 is an apocalyptic number.

444121574400 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 444121574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011153282048).

444121574400 is an abundant number, since it is smaller than the sum of its proper divisors (1578184989696).

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

444121574400 is a wasteful number, since it uses less digits than its factorization.

444121574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 444121574400 its reverse (4475121444), we get a palindrome (448596695844).

The spelling of 444121574400 in words is "four hundred forty-four billion, one hundred twenty-one million, five hundred seventy-four thousand, four hundred".