210240074016 has 384 divisors, whose sum is σ = 707857920000. Its totient is φ = 59467364352.

The previous prime is 210240073943. The next prime is 210240074041. The reversal of 210240074016 is 610470042012.

210240074016 is a `hidden beast` number, since 2 + 10 + 240 + 0 + 7 + 401 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369490180 + ... + 369490748.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380000).

Almost surely, 2^210240074016 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 210240074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353928960000).

210240074016 is an abundant number, since it is smaller than the sum of its proper divisors (497617845984).

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

210240074016 is a wasteful number, since it uses less digits than its factorization.

210240074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 210240074016 in words is "two hundred ten billion, two hundred forty million, seventy-four thousand, sixteen".