42015012500 has 72 divisors (see below), whose sum is σ = 92003095800. Its totient is φ = 16787520000.

The previous prime is 42015012497. The next prime is 42015012511. The reversal of 42015012500 is 521051024.

It can be written as a sum of positive squares in 12 ways, for example, as 29682465796 + 12332546704 = 172286^2 + 111052^2 .

It is a super-2 number, since 2×42015012500² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 20111456 + ... + 20113544.

It is an arithmetic number, because the mean of its divisors is an integer number (1277820775).

Almost surely, 2^42015012500 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 42015012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46001547900).

42015012500 is an abundant number, since it is smaller than the sum of its proper divisors (49988083300).

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

42015012500 is a wasteful number, since it uses less digits than its factorization.

42015012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 42015012500 its reverse (521051024), we get a palindrome (42536063524).

The spelling of 42015012500 in words is "forty-two billion, fifteen million, twelve thousand, five hundred".