442734941400 has 384 divisors, whose sum is σ = 1422043983360. Its totient is φ = 113895936000.

The previous prime is 442734941381. The next prime is 442734941413. The reversal of 442734941400 is 4149437244.

It is a super-2 number, since 2×442734941400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 516609772 + ... + 516610628.

It is an arithmetic number, because the mean of its divisors is an integer number (3703239540).

Almost surely, 2^442734941400 is an apocalyptic number.

442734941400 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 442734941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711021991680).

442734941400 is an abundant number, since it is smaller than the sum of its proper divisors (979309041960).

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

442734941400 is a wasteful number, since it uses less digits than its factorization.

442734941400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 442734941400 in words is "four hundred forty-two billion, seven hundred thirty-four million, nine hundred forty-one thousand, four hundred".