540282518630400 has 2496 divisors, whose sum is σ = 2260571314176000. Its totient is φ = 113122297774080.

The previous prime is 540282518630359. The next prime is 540282518630431. The reversal of 540282518630400 is 4036815282045.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 540282518630400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187663256161 + ... + 187663259039.

Almost surely, 2^{540282518630400} is an apocalyptic number.

540282518630400 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 540282518630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130285657088000).

540282518630400 is an abundant number, since it is smaller than the sum of its proper divisors (1720288795545600).

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

540282518630400 is a wasteful number, since it uses less digits than its factorization.

540282518630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 540282518630400 in words is "five hundred forty trillion, two hundred eighty-two billion, five hundred eighteen million, six hundred thirty thousand, four hundred".