444434054400000 has 3456 divisors, whose sum is σ = 1945934112245760. Its totient is φ = 95651020800000.

The previous prime is 444434054399971. The next prime is 444434054400001. The reversal of 444434054400000 is 4450434444.

444434054400000 is a `hidden beast` number, since 44 + 44 + 34 + 0 + 544 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444434054400001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12011731199982 + ... + 12011731200018.

It is an arithmetic number, because the mean of its divisors is an integer number (563059638960).

Almost surely, 2^{444434054400000} is an apocalyptic number.

444434054400000 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 444434054400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972967056122880).

444434054400000 is an abundant number, since it is smaller than the sum of its proper divisors (1501500057845760).

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

444434054400000 is an frugal number, since it uses more digits than its factorization.

444434054400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

The spelling of 444434054400000 in words is "four hundred forty-four trillion, four hundred thirty-four billion, fifty-four million, four hundred thousand".