540035450784 has 384 divisors, whose sum is σ = 1732439923200. Its totient is φ = 163101818880.

The previous prime is 540035450771. The next prime is 540035450819. The reversal of 540035450784 is 487054530045.

540035450784 is a `hidden beast` number, since 540 + 0 + 3 + 54 + 50 + 7 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30534424 + ... + 30552104.

It is an arithmetic number, because the mean of its divisors is an integer number (4511562300).

Almost surely, 2^540035450784 is an apocalyptic number.

540035450784 is a gapful number since it is divisible by the number (54) 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 540035450784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866219961600).

540035450784 is an abundant number, since it is smaller than the sum of its proper divisors (1192404472416).

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

540035450784 is a wasteful number, since it uses less digits than its factorization.

540035450784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17805 (or 17791 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 540035450784 in words is "five hundred forty billion, thirty-five million, four hundred fifty thousand, seven hundred eighty-four".