234412040410401 has 96 divisors (see below), whose sum is σ = 385219741213440. Its totient is φ = 125986885484544.

The previous prime is 234412040410397. The next prime is 234412040410433. The reversal of 234412040410401 is 104014040214432.

It is a happy number.

It is not a de Polignac number, because 234412040410401 - 2² = 234412040410397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234412040410441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47289091815 + ... + 47289096771.

It is an arithmetic number, because the mean of its divisors is an integer number (4012705637640).

Almost surely, 2^{234412040410401} is an apocalyptic number.

234412040410401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

234412040410401 is a deficient number, since it is larger than the sum of its proper divisors (150807700803039).

234412040410401 is a wasteful number, since it uses less digits than its factorization.

234412040410401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13703 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 234412040410401 its reverse (104014040214432), we get a palindrome (338426080624833).

The spelling of 234412040410401 in words is "two hundred thirty-four trillion, four hundred twelve billion, forty million, four hundred ten thousand, four hundred one".