42313363200 has 540 divisors, whose sum is σ = 161559951168. Its totient is φ = 10915430400.

The previous prime is 42313363163. The next prime is 42313363217. The reversal of 42313363200 is 236331324.

It is a happy number.

42313363200 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 336 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×42313363200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16069084 + ... + 16071716.

Almost surely, 2^42313363200 is an apocalyptic number.

42313363200 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 42313363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80779975584).

42313363200 is an abundant number, since it is smaller than the sum of its proper divisors (119246587968).

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

42313363200 is a wasteful number, since it uses less digits than its factorization.

42313363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 42313363200 its reverse (236331324), we get a palindrome (42549694524).

The spelling of 42313363200 in words is "forty-two billion, three hundred thirteen million, three hundred sixty-three thousand, two hundred".