233005040405200 has 60 divisors (see below), whose sum is σ = 639765268091680. Its totient is φ = 79887442423680.

The previous prime is 233005040405149. The next prime is 233005040405231. The reversal of 233005040405200 is 2504040500332.

233005040405200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41608040130 + ... + 41608045729.

Almost surely, 2^{233005040405200} is an apocalyptic number.

233005040405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233005040405200 is an abundant number, since it is smaller than the sum of its proper divisors (406760227686480).

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

233005040405200 is a wasteful number, since it uses less digits than its factorization.

233005040405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83216085884 (or 83216085873 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 233005040405200 its reverse (2504040500332), we get a palindrome (235509080905532).

The spelling of 233005040405200 in words is "two hundred thirty-three trillion, five billion, forty million, four hundred five thousand, two hundred".