444432250452000 has 384 divisors, whose sum is σ = 1608631072409088. Its totient is φ = 106694049792000.

The previous prime is 444432250451971. The next prime is 444432250452019. The reversal of 444432250452000 is 254052234444.

It is a self number, because there is not a number n which added to its sum of digits gives 444432250452000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42668641 + ... + 52052640.

It is an arithmetic number, because the mean of its divisors is an integer number (4189143417732).

Almost surely, 2^{444432250452000} is an apocalyptic number.

444432250452000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444432250452000 is an abundant number, since it is smaller than the sum of its proper divisors (1164198821957088).

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

444432250452000 is a wasteful number, since it uses less digits than its factorization.

444432250452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94721349 (or 94721331 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 39.

The spelling of 444432250452000 in words is "four hundred forty-four trillion, four hundred thirty-two billion, two hundred fifty million, four hundred fifty-two thousand".