234233134434400 has 72 divisors (see below), whose sum is σ = 590267498837184. Its totient is φ = 90670890739200.

The previous prime is 234233134434389. The next prime is 234233134434433. The reversal of 234233134434400 is 4434431332432.

It is a super-2 number, since 2×234233134434400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 4722417427 + ... + 4722467026.

It is an arithmetic number, because the mean of its divisors is an integer number (8198159706072).

Almost surely, 2^{234233134434400} is an apocalyptic number.

234233134434400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234233134434400 is an abundant number, since it is smaller than the sum of its proper divisors (356034364402784).

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

234233134434400 is a wasteful number, since it uses less digits than its factorization.

234233134434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444884504 (or 9444884491 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 234233134434400 its reverse (4434431332432), we get a palindrome (238667565766832).

The spelling of 234233134434400 in words is "two hundred thirty-four trillion, two hundred thirty-three billion, one hundred thirty-four million, four hundred thirty-four thousand, four hundred".