444114323022420 has 288 divisors, whose sum is σ = 1404534248732160. Its totient is φ = 117796439255040.

The previous prime is 444114323022401. The next prime is 444114323022443. The reversal of 444114323022420 is 24220323411444.

444114323022420 is a `hidden beast` number, since 4 + 4 + 41 + 143 + 2 + 30 + 22 + 420 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 990569500 + ... + 991017740.

It is an arithmetic number, because the mean of its divisors is an integer number (4876855030320).

Almost surely, 2^{444114323022420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444114323022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702267124366080).

444114323022420 is an abundant number, since it is smaller than the sum of its proper divisors (960419925709740).

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

444114323022420 is a wasteful number, since it uses less digits than its factorization.

444114323022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449357 (or 449343 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444114323022420 its reverse (24220323411444), we get a palindrome (468334646433864).

The spelling of 444114323022420 in words is "four hundred forty-four trillion, one hundred fourteen billion, three hundred twenty-three million, twenty-two thousand, four hundred twenty".