42103252128 has 192 divisors, whose sum is σ = 128669264640. Its totient is φ = 11805696000.

The previous prime is 42103252127. The next prime is 42103252129. The reversal of 42103252128 is 82125230124.

It is an interprime number because it is at equal distance from previous prime (42103252127) and next prime (42103252129).

It is a junction number, because it is equal to n+sod(n) for n = 42103252095 and 42103252104.

It is not an unprimeable number, because it can be changed into a prime (42103252127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24635338 + ... + 24637046.

It is an arithmetic number, because the mean of its divisors is an integer number (670152420).

Almost surely, 2^42103252128 is an apocalyptic number.

42103252128 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 42103252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64334632320).

42103252128 is an abundant number, since it is smaller than the sum of its proper divisors (86566012512).

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

42103252128 is a wasteful number, since it uses less digits than its factorization.

42103252128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 42103252128 in words is "forty-two billion, one hundred three million, two hundred fifty-two thousand, one hundred twenty-eight".