42103432960 has 72 divisors (see below), whose sum is σ = 101358280800. Its totient is φ = 16756641792.

The previous prime is 42103432939. The next prime is 42103432963. The reversal of 42103432960 is 6923430124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42103432963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172074 + ... + 337366.

It is an arithmetic number, because the mean of its divisors is an integer number (1407753900).

Almost surely, 2^42103432960 is an apocalyptic number.

42103432960 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 42103432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50679140400).

42103432960 is an abundant number, since it is smaller than the sum of its proper divisors (59254847840).

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

42103432960 is a wasteful number, since it uses less digits than its factorization.

42103432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165513 (or 165499 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 42103432960 in words is "forty-two billion, one hundred three million, four hundred thirty-two thousand, nine hundred sixty".