42584451700 has 144 divisors (see below), whose sum is σ = 110845405440. Its totient is φ = 13883950080.

The previous prime is 42584451697. The next prime is 42584451719. The reversal of 42584451700 is 715448524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2777656 + ... + 2792944.

It is an arithmetic number, because the mean of its divisors is an integer number (769759760).

Almost surely, 2^42584451700 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 42584451700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55422702720).

42584451700 is an abundant number, since it is smaller than the sum of its proper divisors (68260953740).

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

42584451700 is a wasteful number, since it uses less digits than its factorization.

42584451700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15506 (or 15499 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 42584451700 in words is "forty-two billion, five hundred eighty-four million, four hundred fifty-one thousand, seven hundred".