540254460720 has 320 divisors, whose sum is σ = 1950355169280. Its totient is φ = 122499416064.

The previous prime is 540254460709. The next prime is 540254460749. The reversal of 540254460720 is 27064452045.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2384521 + ... + 2601239.

It is an arithmetic number, because the mean of its divisors is an integer number (6094859904).

Almost surely, 2^540254460720 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 540254460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975177584640).

540254460720 is an abundant number, since it is smaller than the sum of its proper divisors (1410100708560).

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

540254460720 is a wasteful number, since it uses less digits than its factorization.

540254460720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216812 (or 216806 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The spelling of 540254460720 in words is "five hundred forty billion, two hundred fifty-four million, four hundred sixty thousand, seven hundred twenty".