206634151040 has 64 divisors (see below), whose sum is σ = 496492607160. Its totient is φ = 82234048512.

The previous prime is 206634151019. The next prime is 206634151043. The reversal of 206634151040 is 40151436602.

206634151040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170317988416 + 36316162624 = 412696^2 + 190568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 206634150988 and 206634151006.

It is not an unprimeable number, because it can be changed into a prime (206634151043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693377 + ... + 945536.

Almost surely, 2^206634151040 is an apocalyptic number.

206634151040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206634151040 is an abundant number, since it is smaller than the sum of its proper divisors (289858456120).

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

206634151040 is a wasteful number, since it uses less digits than its factorization.

206634151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639129 (or 1639117 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 206634151040 its reverse (40151436602), we get a palindrome (246785587642).

The spelling of 206634151040 in words is "two hundred six billion, six hundred thirty-four million, one hundred fifty-one thousand, forty".