445252430000 has 200 divisors, whose sum is σ = 1239590803968. Its totient is φ = 151717536000.

The previous prime is 445252429991. The next prime is 445252430009. The reversal of 445252430000 is 34252544.

It is an interprime number because it is at equal distance from previous prime (445252429991) and next prime (445252430009).

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (445252430009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11390489 + ... + 11429511.

Almost surely, 2^445252430000 is an apocalyptic number.

445252430000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445252430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619795401984).

445252430000 is an abundant number, since it is smaller than the sum of its proper divisors (794338373968).

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

445252430000 is a wasteful number, since it uses less digits than its factorization.

445252430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39221 (or 39200 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 445252430000 its reverse (34252544), we get a palindrome (445286682544).

The spelling of 445252430000 in words is "four hundred forty-five billion, two hundred fifty-two million, four hundred thirty thousand".