540505340060400 has 2880 divisors, whose sum is σ = 2269180003184640. Its totient is φ = 117423820800000.

The previous prime is 540505340060381. The next prime is 540505340060423. The reversal of 540505340060400 is 4060043505045.

540505340060400 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 0 + 5 + 3 + 40 + 0 + 604 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 743473644837 + ... + 743473645563.

It is an arithmetic number, because the mean of its divisors is an integer number (787909723328).

Almost surely, 2^{540505340060400} is an apocalyptic number.

540505340060400 is a gapful number since it is divisible by the number (50) 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 540505340060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134590001592320).

540505340060400 is an abundant number, since it is smaller than the sum of its proper divisors (1728674663124240).

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

540505340060400 is a wasteful number, since it uses less digits than its factorization.

540505340060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 540505340060400 its reverse (4060043505045), we get a palindrome (544565383565445).

The spelling of 540505340060400 in words is "five hundred forty trillion, five hundred five billion, three hundred forty million, sixty thousand, four hundred".