444093742950 has 576 divisors, whose sum is σ = 1395225699840. Its totient is φ = 92123136000.

The previous prime is 444093742943. The next prime is 444093742957. The reversal of 444093742950 is 59247390444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444093742943) and next prime (444093742957).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 444093742893 and 444093742902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444093742957) 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, 440132046 + ... + 440133054.

It is an arithmetic number, because the mean of its divisors is an integer number (2422266840).

Almost surely, 2^444093742950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444093742950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697612849920).

444093742950 is an abundant number, since it is smaller than the sum of its proper divisors (951131956890).

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

444093742950 is a wasteful number, since it uses less digits than its factorization.

444093742950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 444093742950 in words is "four hundred forty-four billion, ninety-three million, seven hundred forty-two thousand, nine hundred fifty".