206151847440 has 960 divisors, whose sum is σ = 849473630208. Its totient is φ = 40853299200.

The previous prime is 206151847417. The next prime is 206151847457. The reversal of 206151847440 is 44748151602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 206151847392 and 206151847401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249276307 + ... + 249277133.

Almost surely, 2^206151847440 is an apocalyptic number.

206151847440 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 206151847440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424736815104).

206151847440 is an abundant number, since it is smaller than the sum of its proper divisors (643321782768).

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

206151847440 is a wasteful number, since it uses less digits than its factorization.

206151847440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 206151847440 in words is "two hundred six billion, one hundred fifty-one million, eight hundred forty-seven thousand, four hundred forty".