442400013432 has 192 divisors, whose sum is σ = 1300663072800. Its totient is φ = 135037808640.

The previous prime is 442400013431. The next prime is 442400013437. The reversal of 442400013432 is 234310004244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442400013396 and 442400013405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442400013431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61279119 + ... + 61286337.

Almost surely, 2^442400013432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442400013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650331536400).

442400013432 is an abundant number, since it is smaller than the sum of its proper divisors (858263059368).

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

442400013432 is a wasteful number, since it uses less digits than its factorization.

442400013432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7758 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 442400013432 its reverse (234310004244), we get a palindrome (676710017676).

The spelling of 442400013432 in words is "four hundred forty-two billion, four hundred million, thirteen thousand, four hundred thirty-two".