42245867520 has 720 divisors, whose sum is σ = 159416597340. Its totient is φ = 10696458240.

The previous prime is 42245867513. The next prime is 42245867539. The reversal of 42245867520 is 2576854224.

42245867520 is a `hidden beast` number, since 4 + 2 + 2 + 45 + 86 + 7 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42166158336 + 79709184 = 205344^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 797091814 + ... + 797091866.

Almost surely, 2^42245867520 is an apocalyptic number.

42245867520 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 42245867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79708298670).

42245867520 is an abundant number, since it is smaller than the sum of its proper divisors (117170729820).

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

42245867520 is an equidigital number, since it uses as much as digits as its factorization.

42245867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 42245867520 in words is "forty-two billion, two hundred forty-five million, eight hundred sixty-seven thousand, five hundred twenty".