442200279960 has 192 divisors, whose sum is σ = 1485578465280. Its totient is φ = 113957141760.

The previous prime is 442200279959. The next prime is 442200279971. The reversal of 442200279960 is 69972002244.

It is a happy number.

442200279960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8086069 + ... + 8140571.

It is an arithmetic number, because the mean of its divisors is an integer number (7737387840).

Almost surely, 2^442200279960 is an apocalyptic number.

442200279960 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 442200279960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742789232640).

442200279960 is an abundant number, since it is smaller than the sum of its proper divisors (1043378185320).

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

442200279960 is a wasteful number, since it uses less digits than its factorization.

442200279960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55278 (or 55271 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 442200279960 in words is "four hundred forty-two billion, two hundred million, two hundred seventy-nine thousand, nine hundred sixty".