540932840340480 has 1408 divisors, whose sum is σ = 2227919427840000. Its totient is φ = 123430975635456.

The previous prime is 540932840340461. The next prime is 540932840340523. The reversal of 540932840340480 is 84043048239045.

It is a happy number.

540932840340480 is a `hidden beast` number, since 5 + 4 + 0 + 93 + 2 + 8 + 40 + 34 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48518501946 + ... + 48518513094.

Almost surely, 2^{540932840340480} 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 540932840340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113959713920000).

540932840340480 is an abundant number, since it is smaller than the sum of its proper divisors (1686986587499520).

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

540932840340480 is an equidigital number, since it uses as much as digits as its factorization.

540932840340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11821 (or 11785 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 540932840340480 in words is "five hundred forty trillion, nine hundred thirty-two billion, eight hundred forty million, three hundred forty thousand, four hundred eighty".