42351413200 has 120 divisors (see below), whose sum is σ = 108743254272. Its totient is φ = 15794780160.

The previous prime is 42351413191. The next prime is 42351413219. The reversal of 42351413200 is 231415324.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 698497 + ... + 756703.

Almost surely, 2^42351413200 is an apocalyptic number.

42351413200 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 42351413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371627136).

42351413200 is an abundant number, since it is smaller than the sum of its proper divisors (66391841072).

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

42351413200 is a wasteful number, since it uses less digits than its factorization.

42351413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58349 (or 58338 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 42351413200 its reverse (231415324), we get a palindrome (42582828524).

The spelling of 42351413200 in words is "forty-two billion, three hundred fifty-one million, four hundred thirteen thousand, two hundred".