545930461440 has 1080 divisors, whose sum is σ = 2417985839808. Its totient is φ = 115159449600.

The previous prime is 545930461399. The next prime is 545930461441. The reversal of 545930461440 is 44164039545.

545930461440 is a `hidden beast` number, since 5 + 4 + 593 + 0 + 4 + 6 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (545930461441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 122651215 + ... + 122655665.

Almost surely, 2^545930461440 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 545930461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208992919904).

545930461440 is an abundant number, since it is smaller than the sum of its proper divisors (1872055378368).

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

545930461440 is a wasteful number, since it uses less digits than its factorization.

545930461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 545930461440 in words is "five hundred forty-five billion, nine hundred thirty million, four hundred sixty-one thousand, four hundred forty".