444232423243100 has 144 divisors (see below), whose sum is σ = 1074506252198400. Its totient is φ = 158424091499520.

The previous prime is 444232423243093. The next prime is 444232423243139. The reversal of 444232423243100 is 1342324232444.

It is a super-2 number, since 2×444232423243100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362537261 + ... + 363760539.

It is an arithmetic number, because the mean of its divisors is an integer number (7461848973600).

Almost surely, 2^{444232423243100} 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 444232423243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537253126099200).

444232423243100 is an abundant number, since it is smaller than the sum of its proper divisors (630273828955300).

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

444232423243100 is a wasteful number, since it uses less digits than its factorization.

444232423243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234572 (or 1234565 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 444232423243100 its reverse (1342324232444), we get a palindrome (445574747475544).

The spelling of 444232423243100 in words is "four hundred forty-four trillion, two hundred thirty-two billion, four hundred twenty-three million, two hundred forty-three thousand, one hundred".