442551252000 has 768 divisors, whose sum is σ = 1762190277120. Its totient is φ = 95606784000.

The previous prime is 442551251959. The next prime is 442551252007. The reversal of 442551252000 is 252155244.

It is a super-2 number, since 2×442551252000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (442551252007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49759554 + ... + 49768446.

It is an arithmetic number, because the mean of its divisors is an integer number (2294518590).

Almost surely, 2^442551252000 is an apocalyptic number.

442551252000 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 442551252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881095138560).

442551252000 is an abundant number, since it is smaller than the sum of its proper divisors (1319639025120).

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

442551252000 is a wasteful number, since it uses less digits than its factorization.

442551252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 442551252000 in words is "four hundred forty-two billion, five hundred fifty-one million, two hundred fifty-two thousand".