241258400032 has 96 divisors (see below), whose sum is σ = 538757352000. Its totient is φ = 105426551808.

The previous prime is 241258400021. The next prime is 241258400059. The reversal of 241258400032 is 230004852142.

241258400032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241258399967 and 241258400003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14748594 + ... + 14764942.

It is an arithmetic number, because the mean of its divisors is an integer number (5612055750).

Almost surely, 2^241258400032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241258400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269378676000).

241258400032 is an abundant number, since it is smaller than the sum of its proper divisors (297498951968).

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

241258400032 is a wasteful number, since it uses less digits than its factorization.

241258400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18258 (or 18250 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 241258400032 in words is "two hundred forty-one billion, two hundred fifty-eight million, four hundred thousand, thirty-two".