234401424266100 has 288 divisors, whose sum is σ = 834962210553856. Its totient is φ = 49441150656000.

The previous prime is 234401424266099. The next prime is 234401424266129. The reversal of 234401424266100 is 1662424104432.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88982925 + ... + 91579275.

Almost surely, 2^{234401424266100} is an apocalyptic number.

234401424266100 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 234401424266100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417481105276928).

234401424266100 is an abundant number, since it is smaller than the sum of its proper divisors (600560786287756).

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

234401424266100 is a wasteful number, since it uses less digits than its factorization.

234401424266100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599695 (or 2599688 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 234401424266100 in words is "two hundred thirty-four trillion, four hundred one billion, four hundred twenty-four million, two hundred sixty-six thousand, one hundred".