42125332410 has 192 divisors, whose sum is σ = 132675708672. Its totient is φ = 9052674048.

The previous prime is 42125332397. The next prime is 42125332433. The reversal of 42125332410 is 1423352124.

42125332410 is a `hidden beast` number, since 4 + 212 + 5 + 3 + 32 + 410 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15560277 + ... + 15562983.

It is an arithmetic number, because the mean of its divisors is an integer number (691019316).

Almost surely, 2^42125332410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42125332410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66337854336).

42125332410 is an abundant number, since it is smaller than the sum of its proper divisors (90550376262).

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

42125332410 is a wasteful number, since it uses less digits than its factorization.

42125332410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42125332410 its reverse (1423352124), we get a palindrome (43548684534).

The spelling of 42125332410 in words is "forty-two billion, one hundred twenty-five million, three hundred thirty-two thousand, four hundred ten".