442524521400 has 384 divisors, whose sum is σ = 1606549049280. Its totient is φ = 99749560320.

The previous prime is 442524521399. The next prime is 442524521407. The reversal of 442524521400 is 4125425244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442524521407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4861102 + ... + 4951298.

Almost surely, 2^442524521400 is an apocalyptic number.

442524521400 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 442524521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803274524640).

442524521400 is an abundant number, since it is smaller than the sum of its proper divisors (1164024527880).

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

442524521400 is a wasteful number, since it uses less digits than its factorization.

442524521400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90283 (or 90274 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 442524521400 its reverse (4125425244), we get a palindrome (446649946644).

The spelling of 442524521400 in words is "four hundred forty-two billion, five hundred twenty-four million, five hundred twenty-one thousand, four hundred".