241442120040 has 512 divisors, whose sum is σ = 845182771200. Its totient is φ = 54602240000.

The previous prime is 241442120039. The next prime is 241442120069. The reversal of 241442120040 is 40021244142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217711006 + ... + 217712114.

It is an arithmetic number, because the mean of its divisors is an integer number (1650747600).

Almost surely, 2^241442120040 is an apocalyptic number.

241442120040 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 241442120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422591385600).

241442120040 is an abundant number, since it is smaller than the sum of its proper divisors (603740651160).

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

241442120040 is a wasteful number, since it uses less digits than its factorization.

241442120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 241442120040 its reverse (40021244142), we get a palindrome (281463364182).

The spelling of 241442120040 in words is "two hundred forty-one billion, four hundred forty-two million, one hundred twenty thousand, forty".