444420065600 has 168 divisors, whose sum is σ = 1323289321920. Its totient is φ = 143409438720.

The previous prime is 444420065597. The next prime is 444420065603. The reversal of 444420065600 is 6560024444.

It is an interprime number because it is at equal distance from previous prime (444420065597) and next prime (444420065603).

It is a super-3 number, since 3×444420065600³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444420065603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 976670 + ... + 1357469.

Almost surely, 2^444420065600 is an apocalyptic number.

444420065600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444420065600 is an abundant number, since it is smaller than the sum of its proper divisors (878869256320).

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

444420065600 is a wasteful number, since it uses less digits than its factorization.

444420065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334185 (or 2334170 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 444420065600 in words is "four hundred forty-four billion, four hundred twenty million, sixty-five thousand, six hundred".