442213031480 has 128 divisors (see below), whose sum is σ = 1101131366400. Its totient is φ = 158482252800.

The previous prime is 442213031423. The next prime is 442213031503. The reversal of 442213031480 is 84130312244.

It is a super-3 number, since 3×442213031480³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50070665 + ... + 50079495.

It is an arithmetic number, because the mean of its divisors is an integer number (8602588800).

Almost surely, 2^442213031480 is an apocalyptic number.

442213031480 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 442213031480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550565683200).

442213031480 is an abundant number, since it is smaller than the sum of its proper divisors (658918334920).

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

442213031480 is a wasteful number, since it uses less digits than its factorization.

442213031480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10485 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 442213031480 in words is "four hundred forty-two billion, two hundred thirteen million, thirty-one thousand, four hundred eighty".