241413120 has 396 divisors, whose sum is σ = 935004096. Its totient is φ = 57507840.

The previous prime is 241413119. The next prime is 241413131. The reversal of 241413120 is 21314142.

241413120 is a `hidden beast` number, since 241 + 413 + 12 + 0 = 666.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 241413093 and 241413102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7787505 + ... + 7787535.

Almost surely, 2^241413120 is an apocalyptic number.

241413120 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 241413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467502048).

241413120 is an abundant number, since it is smaller than the sum of its proper divisors (693590976).

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

241413120 is a wasteful number, since it uses less digits than its factorization.

241413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 241413120 is about 15537.4746982899. The cubic root of 241413120 is about 622.6638074742.

Adding to 241413120 its reverse (21314142), we get a palindrome (262727262).

It can be divided in two parts, 24141 and 3120, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 241413120 in words is "two hundred forty-one million, four hundred thirteen thousand, one hundred twenty".