241890945120 has 432 divisors, whose sum is σ = 920142097056. Its totient is φ = 57811353600.

The previous prime is 241890945067. The next prime is 241890945133. The reversal of 241890945120 is 21549098142.

It is a happy number.

241890945120 is a `hidden beast` number, since 2 + 41 + 8 + 9 + 0 + 94 + 512 + 0 = 666.

It is a super-2 number, since 2×241890945120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12361264 + ... + 12380816.

It is an arithmetic number, because the mean of its divisors is an integer number (2129958558).

Almost surely, 2^241890945120 is an apocalyptic number.

241890945120 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 241890945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460071048528).

241890945120 is an abundant number, since it is smaller than the sum of its proper divisors (678251151936).

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

241890945120 is a wasteful number, since it uses less digits than its factorization.

241890945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19667 (or 19645 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 241890945120 in words is "two hundred forty-one billion, eight hundred ninety million, nine hundred forty-five thousand, one hundred twenty".