210045716274240 has 2016 divisors, whose sum is σ = 937295259264000. Its totient is φ = 43554592788480.

The previous prime is 210045716274209. The next prime is 210045716274281. The reversal of 210045716274240 is 42472617540012.

210045716274240 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 4 + 571 + 6 + 2 + 74 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 100069420711 + ... + 100069422809.

It is an arithmetic number, because the mean of its divisors is an integer number (464928204000).

Almost surely, 2^{210045716274240} is an apocalyptic number.

210045716274240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210045716274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468647629632000).

210045716274240 is an abundant number, since it is smaller than the sum of its proper divisors (727249542989760).

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

210045716274240 is an equidigital number, since it uses as much as digits as its factorization.

210045716274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 210045716274240 in words is "two hundred ten trillion, forty-five billion, seven hundred sixteen million, two hundred seventy-four thousand, two hundred forty".