241253415310040 has 384 divisors, whose sum is σ = 637720783257600. Its totient is φ = 81898284948480.

The previous prime is 241253415310031. The next prime is 241253415310091. The reversal of 241253415310040 is 40013514352142.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79438067402 + ... + 79438070438.

It is an arithmetic number, because the mean of its divisors is an integer number (1660731206400).

Almost surely, 2^{241253415310040} is an apocalyptic number.

241253415310040 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 241253415310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318860391628800).

241253415310040 is an abundant number, since it is smaller than the sum of its proper divisors (396467367947560).

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

241253415310040 is a wasteful number, since it uses less digits than its factorization.

241253415310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 241253415310040 its reverse (40013514352142), we get a palindrome (281266929662182).

The spelling of 241253415310040 in words is "two hundred forty-one trillion, two hundred fifty-three billion, four hundred fifteen million, three hundred ten thousand, forty".