540943545240 has 512 divisors, whose sum is σ = 2097023385600. Its totient is φ = 121486210560.

The previous prime is 540943545239. The next prime is 540943545257. The reversal of 540943545240 is 42545349045.

540943545240 is a `hidden beast` number, since 5 + 4 + 0 + 94 + 35 + 4 + 524 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 102004429 + ... + 102009731.

It is an arithmetic number, because the mean of its divisors is an integer number (4095748800).

Almost surely, 2^540943545240 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 540943545240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048511692800).

540943545240 is an abundant number, since it is smaller than the sum of its proper divisors (1556079840360).

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

540943545240 is a wasteful number, since it uses less digits than its factorization.

540943545240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 540943545240 in words is "five hundred forty billion, nine hundred forty-three million, five hundred forty-five thousand, two hundred forty".