442435070560 has 96 divisors (see below), whose sum is σ = 1217113998912. Its totient is φ = 148829890560.

The previous prime is 442435070437. The next prime is 442435070569. The reversal of 442435070560 is 65070534244.

It is a super-2 number, since 2×442435070560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442435070569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3667351 + ... + 3786070.

It is an arithmetic number, because the mean of its divisors is an integer number (12678270822).

Almost surely, 2^442435070560 is an apocalyptic number.

442435070560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442435070560 is an abundant number, since it is smaller than the sum of its proper divisors (774678928352).

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

442435070560 is a wasteful number, since it uses less digits than its factorization.

442435070560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7453496 (or 7453488 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 40.

The spelling of 442435070560 in words is "four hundred forty-two billion, four hundred thirty-five million, seventy thousand, five hundred sixty".