42103201440 has 96 divisors (see below), whose sum is σ = 132776957376. Its totient is φ = 11214663680.

The previous prime is 42103201433. The next prime is 42103201447. The reversal of 42103201440 is 4410230124.

It is an interprime number because it is at equal distance from previous prime (42103201433) and next prime (42103201447).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42103201447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373099 + ... + 472661.

It is an arithmetic number, because the mean of its divisors is an integer number (1383093306).

Almost surely, 2^42103201440 is an apocalyptic number.

42103201440 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 42103201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66388478688).

42103201440 is an abundant number, since it is smaller than the sum of its proper divisors (90673755936).

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

42103201440 is a wasteful number, since it uses less digits than its factorization.

42103201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100462 (or 100454 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 42103201440 its reverse (4410230124), we get a palindrome (46513431564).

The spelling of 42103201440 in words is "forty-two billion, one hundred three million, two hundred one thousand, four hundred forty".