206912216629440 has 2240 divisors, whose sum is σ = 871508056320000. Its totient is φ = 46574130290688.

The previous prime is 206912216629427. The next prime is 206912216629511. The reversal of 206912216629440 is 44926612219602.

It is a happy number.

206912216629440 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 1 + 2 + 2 + 1 + 6 + 629 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 189306693534 + ... + 189306694626.

Almost surely, 2^{206912216629440} is an apocalyptic number.

206912216629440 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 206912216629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435754028160000).

206912216629440 is an abundant number, since it is smaller than the sum of its proper divisors (664595839690560).

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

206912216629440 is a wasteful number, since it uses less digits than its factorization.

206912216629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 206912216629440 in words is "two hundred six trillion, nine hundred twelve billion, two hundred sixteen million, six hundred twenty-nine thousand, four hundred forty".