241320040 has 64 divisors (see below), whose sum is σ = 586731600. Its totient is φ = 88799232.

The previous prime is 241320019. The next prime is 241320041. The reversal of 241320040 is 40023142.

It can be written as a sum of positive squares in 8 ways, for example, as 34363044 + 206956996 = 5862^2 + 14386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241319996 and 241320023.

It is not an unprimeable number, because it can be changed into a prime (241320041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201684 + ... + 202876.

Almost surely, 2^241320040 is an apocalyptic number.

241320040 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 241320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293365800).

241320040 is an abundant number, since it is smaller than the sum of its proper divisors (345411560).

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

241320040 is a wasteful number, since it uses less digits than its factorization.

241320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 241320040 is about 15534.4790707638. The cubic root of 241320040 is about 622.5837717833.

Adding to 241320040 its reverse (40023142), we get a palindrome (281343182).

The spelling of 241320040 in words is "two hundred forty-one million, three hundred twenty thousand, forty".