42446464424 has 96 divisors (see below), whose sum is σ = 100690921800. Its totient is φ = 16625548800.

The previous prime is 42446464387. The next prime is 42446464447.

It is a happy number.

42446464424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 42278761924 + 167702500 = 205618^2 + 12950^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473462 + ... + 555930.

Almost surely, 2^42446464424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42446464424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50345460900).

42446464424 is an abundant number, since it is smaller than the sum of its proper divisors (58244457376).

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

42446464424 is a wasteful number, since it uses less digits than its factorization.

42446464424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82603 (or 82592 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

The spelling of 42446464424 in words is "forty-two billion, four hundred forty-six million, four hundred sixty-four thousand, four hundred twenty-four".