234261026241100 has 144 divisors (see below), whose sum is σ = 552416151992320. Its totient is φ = 85900675737600.

The previous prime is 234261026241079. The next prime is 234261026241167. The reversal of 234261026241100 is 1142620162432.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627510697 + ... + 627883903.

Almost surely, 2^{234261026241100} is an apocalyptic number.

234261026241100 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 234261026241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276208075996160).

234261026241100 is an abundant number, since it is smaller than the sum of its proper divisors (318155125751220).

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

234261026241100 is a wasteful number, since it uses less digits than its factorization.

234261026241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383928 (or 383921 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 234261026241100 in words is "two hundred thirty-four trillion, two hundred sixty-one billion, twenty-six million, two hundred forty-one thousand, one hundred".