4234011313200 has 240 divisors, whose sum is σ = 14155544391936. Its totient is φ = 1079758310400.

The previous prime is 4234011313163. The next prime is 4234011313229. The reversal of 4234011313200 is 23131104324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166608495 + ... + 166633905.

Almost surely, 2^{4234011313200} is an apocalyptic number.

4234011313200 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 4234011313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077772195968).

4234011313200 is an abundant number, since it is smaller than the sum of its proper divisors (9921533078736).

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

4234011313200 is a wasteful number, since it uses less digits than its factorization.

4234011313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31492 (or 31481 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4234011313200 its reverse (23131104324), we get a palindrome (4257142417524).

The spelling of 4234011313200 in words is "four trillion, two hundred thirty-four billion, eleven million, three hundred thirteen thousand, two hundred".