540417346560 has 3168 divisors, whose sum is σ = 2688620195520. Its totient is φ = 101666783232.

The previous prime is 540417346529. The next prime is 540417346591. The reversal of 540417346560 is 65643714045.

540417346560 is a `hidden beast` number, since 5 + 4 + 0 + 41 + 7 + 3 + 46 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (540417346529) and next prime (540417346591).

It is a super-2 number, since 2×540417346560² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28443018231 + ... + 28443018249.

Almost surely, 2^540417346560 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 540417346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344310097760).

540417346560 is an abundant number, since it is smaller than the sum of its proper divisors (2148202848960).

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

540417346560 is a wasteful number, since it uses less digits than its factorization.

540417346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 540417346560 in words is "five hundred forty billion, four hundred seventeen million, three hundred forty-six thousand, five hundred sixty".