241049088000 has 1664 divisors, whose sum is σ = 1059855114240. Its totient is φ = 52907212800.

The previous prime is 241049087987. The next prime is 241049088001. The reversal of 241049088000 is 880940142.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (241049088001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4548095974 + ... + 4548096026.

It is an arithmetic number, because the mean of its divisors is an integer number (636932160).

Almost surely, 2^241049088000 is an apocalyptic number.

241049088000 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 241049088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529927557120).

241049088000 is an abundant number, since it is smaller than the sum of its proper divisors (818806026240).

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

241049088000 is an equidigital number, since it uses as much as digits as its factorization.

241049088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 241049088000 in words is "two hundred forty-one billion, forty-nine million, eighty-eight thousand".