241545002134040 has 256 divisors, whose sum is σ = 641219807692800. Its totient is φ = 80929236326400.

The previous prime is 241545002134039. The next prime is 241545002134081. The reversal of 241545002134040 is 40431200545142.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 753652625 + ... + 753973055.

It is an arithmetic number, because the mean of its divisors is an integer number (2504764873800).

Almost surely, 2^{241545002134040} is an apocalyptic number.

241545002134040 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 241545002134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320609903846400).

241545002134040 is an abundant number, since it is smaller than the sum of its proper divisors (399674805558760).

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

241545002134040 is a wasteful number, since it uses less digits than its factorization.

241545002134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322946 (or 322942 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 241545002134040 its reverse (40431200545142), we get a palindrome (281976202679182).

The spelling of 241545002134040 in words is "two hundred forty-one trillion, five hundred forty-five billion, two million, one hundred thirty-four thousand, forty".