201294412416 has 128 divisors (see below), whose sum is σ = 600223814400. Its totient is φ = 66406293504.

The previous prime is 201294412409. The next prime is 201294412453. The reversal of 201294412416 is 614214492102.

201294412416 is a `hidden beast` number, since 201 + 2 + 9 + 441 + 2 + 4 + 1 + 6 = 666.

201294412416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 35001 + ... + 635463.

It is an arithmetic number, because the mean of its divisors is an integer number (4689248550).

Almost surely, 2^201294412416 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 201294412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300111907200).

201294412416 is an abundant number, since it is smaller than the sum of its proper divisors (398929401984).

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

201294412416 is an equidigital number, since it uses as much as digits as its factorization.

201294412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600583 (or 600565 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 201294412416 in words is "two hundred one billion, two hundred ninety-four million, four hundred twelve thousand, four hundred sixteen".