545876958241440 has 864 divisors, whose sum is σ = 2294650970683344. Its totient is φ = 117419684659200.

The previous prime is 545876958241399. The next prime is 545876958241453. The reversal of 545876958241440 is 44142859678545.

545876958241440 is a `hidden beast` number, since 5 + 4 + 5 + 8 + 7 + 6 + 95 + 82 + 414 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 199321651169424 + 346555307072016 = 14118132^2 + 18615996^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14875229172 + ... + 14875265868.

Almost surely, 2^{545876958241440} 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 545876958241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147325485341672).

545876958241440 is an abundant number, since it is smaller than the sum of its proper divisors (1748774012441904).

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

545876958241440 is a wasteful number, since it uses less digits than its factorization.

545876958241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49150 (or 49132 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 545876958241440 in words is "five hundred forty-five trillion, eight hundred seventy-six billion, nine hundred fifty-eight million, two hundred forty-one thousand, four hundred forty".