234124421413000 has 256 divisors, whose sum is σ = 587364975288000. Its totient is φ = 87037732454400.

The previous prime is 234124421412977. The next prime is 234124421413031. The reversal of 234124421413000 is 314124421432.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 10855140341796 + 223269281071204 = 3294714^2 + 14942198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740242894 + ... + 740559106.

Almost surely, 2^{234124421413000} is an apocalyptic number.

234124421413000 is a gapful number since it is divisible by the number (20) 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 234124421413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293682487644000).

234124421413000 is an abundant number, since it is smaller than the sum of its proper divisors (353240553875000).

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

234124421413000 is a wasteful number, since it uses less digits than its factorization.

234124421413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316797 (or 316783 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 234124421413000 its reverse (314124421432), we get a palindrome (234438545834432).

The spelling of 234124421413000 in words is "two hundred thirty-four trillion, one hundred twenty-four billion, four hundred twenty-one million, four hundred thirteen thousand".