442896276480 has 528 divisors, whose sum is σ = 1656935143200. Its totient is φ = 100675878912.

The previous prime is 442896276461. The next prime is 442896276521. The reversal of 442896276480 is 84672698244.

It is a happy number.

It is a super-2 number, since 2×442896276480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 145257996 + ... + 145261044.

Almost surely, 2^442896276480 is an apocalyptic number.

442896276480 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 442896276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828467571600).

442896276480 is an abundant number, since it is smaller than the sum of its proper divisors (1214038866720).

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

442896276480 is a wasteful number, since it uses less digits than its factorization.

442896276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 442896276480 in words is "four hundred forty-two billion, eight hundred ninety-six million, two hundred seventy-six thousand, four hundred eighty".