541320405002440 has 512 divisors, whose sum is σ = 1435246241218560. Its totient is φ = 179935993036800.

The previous prime is 541320405002423. The next prime is 541320405002527. The reversal of 541320405002440 is 44200504023145.

It is a junction number, because it is equal to n+sod(n) for n = 541320405002396 and 541320405002405.

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, 241984981002 + ... + 241984983238.

It is an arithmetic number, because the mean of its divisors is an integer number (2803215314880).

Almost surely, 2^{541320405002440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541320405002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717623120609280).

541320405002440 is an abundant number, since it is smaller than the sum of its proper divisors (893925836216120).

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

541320405002440 is a wasteful number, since it uses less digits than its factorization.

541320405002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 541320405002440 its reverse (44200504023145), we get a palindrome (585520909025585).

The spelling of 541320405002440 in words is "five hundred forty-one trillion, three hundred twenty billion, four hundred five million, two thousand, four hundred forty".