442526988960 has 1728 divisors, whose sum is σ = 1927432765440. Its totient is φ = 95469373440.

The previous prime is 442526988949. The next prime is 442526988971. The reversal of 442526988960 is 69889625244.

442526988960 is a `hidden beast` number, since 4 + 42 + 526 + 9 + 8 + 8 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (442526988949) and next prime (442526988971).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3484464417 + ... + 3484464543.

It is an arithmetic number, because the mean of its divisors is an integer number (1115412480).

Almost surely, 2^442526988960 is an apocalyptic number.

442526988960 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 442526988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963716382720).

442526988960 is an abundant number, since it is smaller than the sum of its proper divisors (1484905776480).

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

442526988960 is a wasteful number, since it uses less digits than its factorization.

442526988960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 442526988960 in words is "four hundred forty-two billion, five hundred twenty-six million, nine hundred eighty-eight thousand, nine hundred sixty".