541002540233440 has 192 divisors, whose sum is σ = 1323189421424640. Its totient is φ = 208810757376000.

The previous prime is 541002540233431. The next prime is 541002540233473. The reversal of 541002540233440 is 44332045200145.

It is a super-3 number, since 3×541002540233440³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 541002540233440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20140805610 + ... + 20140832470.

It is an arithmetic number, because the mean of its divisors is an integer number (6891611569920).

Almost surely, 2^{541002540233440} 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 541002540233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661594710712320).

541002540233440 is an abundant number, since it is smaller than the sum of its proper divisors (782186881191200).

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

541002540233440 is a wasteful number, since it uses less digits than its factorization.

541002540233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38577 (or 38569 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 541002540233440 its reverse (44332045200145), we get a palindrome (585334585433585).

The spelling of 541002540233440 in words is "five hundred forty-one trillion, two billion, five hundred forty million, two hundred thirty-three thousand, four hundred forty".