42746013200 has 120 divisors (see below), whose sum is σ = 112748825280. Its totient is φ = 15444748800.

The previous prime is 42746013179. The next prime is 42746013209. The reversal of 42746013200 is 231064724.

42746013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42746013200³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42746013209) 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, 659861 + ... + 721739.

It is an arithmetic number, because the mean of its divisors is an integer number (939573544).

Almost surely, 2^42746013200 is an apocalyptic number.

42746013200 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 42746013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56374412640).

42746013200 is an abundant number, since it is smaller than the sum of its proper divisors (70002812080).

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

42746013200 is a wasteful number, since it uses less digits than its factorization.

42746013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62065 (or 62054 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 42746013200 its reverse (231064724), we get a palindrome (42977077924).

The spelling of 42746013200 in words is "forty-two billion, seven hundred forty-six million, thirteen thousand, two hundred".