42103000400 has 120 divisors (see below), whose sum is σ = 104849520600. Its totient is φ = 16227993600.

The previous prime is 42103000363. The next prime is 42103000403. The reversal of 42103000400 is 400030124.

It can be written as a sum of positive squares in 12 ways, for example, as 9381084736 + 32721915664 = 96856^2 + 180892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42103000403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6272246 + ... + 6278954.

It is an arithmetic number, because the mean of its divisors is an integer number (873746005).

Almost surely, 2^42103000400 is an apocalyptic number.

42103000400 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 42103000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52424760300).

42103000400 is an abundant number, since it is smaller than the sum of its proper divisors (62746520200).

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

42103000400 is a wasteful number, since it uses less digits than its factorization.

42103000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 42103000400 its reverse (400030124), we get a palindrome (42503030524).

The spelling of 42103000400 in words is "forty-two billion, one hundred three million, four hundred", and thus it is an aban number.