545909581440 has 384 divisors, whose sum is σ = 2044679429520. Its totient is φ = 133669847040.

The previous prime is 545909581429. The next prime is 545909581487. The reversal of 545909581440 is 44185909545.

545909581440 is a `hidden beast` number, since 5 + 4 + 59 + 0 + 9 + 581 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 287544757824 + 258364823616 = 536232^2 + 508296^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×545909581440² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3946732 + ... + 4082708.

Almost surely, 2^545909581440 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 545909581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022339714760).

545909581440 is an abundant number, since it is smaller than the sum of its proper divisors (1498769848080).

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

545909581440 is a wasteful number, since it uses less digits than its factorization.

545909581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136060 (or 136045 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 545909581440 in words is "five hundred forty-five billion, nine hundred nine million, five hundred eighty-one thousand, four hundred forty".