540441538560 has 1040 divisors, whose sum is σ = 2415963889152. Its totient is φ = 112272998400.

The previous prime is 540441538523. The next prime is 540441538601. The reversal of 540441538560 is 65835144045.

540441538560 is a `hidden beast` number, since 5 + 4 + 0 + 44 + 15 + 38 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127731645 + ... + 127735875.

Almost surely, 2^540441538560 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 540441538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207981944576).

540441538560 is an abundant number, since it is smaller than the sum of its proper divisors (1875522350592).

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

540441538560 is a wasteful number, since it uses less digits than its factorization.

540441538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 540441538560 in words is "five hundred forty billion, four hundred forty-one million, five hundred thirty-eight thousand, five hundred sixty".