42015524000 has 96 divisors (see below), whose sum is σ = 103435414992. Its totient is φ = 16773120000.

The previous prime is 42015523997. The next prime is 42015524003. The reversal of 42015524000 is 42551024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42015523997) and next prime (42015524003).

It can be written as a sum of positive squares in 8 ways, for example, as 905528464 + 41109995536 = 30092^2 + 202756^2 .

It is not an unprimeable number, because it can be changed into a prime (42015524003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2073920 + ... + 2094080.

Almost surely, 2^42015524000 is an apocalyptic number.

42015524000 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 42015524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51717707496).

42015524000 is an abundant number, since it is smaller than the sum of its proper divisors (61419890992).

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

42015524000 is a wasteful number, since it uses less digits than its factorization.

42015524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20707 (or 20689 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The spelling of 42015524000 in words is "forty-two billion, fifteen million, five hundred twenty-four thousand".