42512243328 has 192 divisors, whose sum is σ = 126542407680. Its totient is φ = 13685114880.

The previous prime is 42512243309. The next prime is 42512243339. The reversal of 42512243328 is 82334221524.

42512243328 is a `hidden beast` number, since 42 + 51 + 2 + 243 + 328 = 666.

42512243328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42512243292 and 42512243301.

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, 23319025 + ... + 23320847.

It is an arithmetic number, because the mean of its divisors is an integer number (659075040).

Almost surely, 2^42512243328 is an apocalyptic number.

42512243328 is a gapful number since it is divisible by the number (48) 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 42512243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63271203840).

42512243328 is an abundant number, since it is smaller than the sum of its proper divisors (84030164352).

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

42512243328 is a wasteful number, since it uses less digits than its factorization.

42512243328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2512 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 42512243328 in words is "forty-two billion, five hundred twelve million, two hundred forty-three thousand, three hundred twenty-eight".