541335321322400 has 144 divisors (see below), whose sum is σ = 1454432568357888. Its totient is φ = 195107179008000.

The previous prime is 541335321322381. The next prime is 541335321322403. The reversal of 541335321322400 is 4223123533145.

It is a super-2 number, since 2×541335321322400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541335321322403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271197536 + ... + 273186335.

It is an arithmetic number, because the mean of its divisors is an integer number (10100226169152).

Almost surely, 2^{541335321322400} is an apocalyptic number.

541335321322400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541335321322400 is an abundant number, since it is smaller than the sum of its proper divisors (913097247035488).

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

541335321322400 is a wasteful number, since it uses less digits than its factorization.

541335321322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544384015 (or 544384002 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 541335321322400 its reverse (4223123533145), we get a palindrome (545558444855545).

The spelling of 541335321322400 in words is "five hundred forty-one trillion, three hundred thirty-five billion, three hundred twenty-one million, three hundred twenty-two thousand, four hundred".