10206465206440 has 16 divisors (see below), whose sum is σ = 22964546714580. Its totient is φ = 4082586082560.

The previous prime is 10206465206417. The next prime is 10206465206459. The reversal of 10206465206440 is 4460256460201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10196564558436 + 9900648004 = 3193206^2 + 99502^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 255161630161 = 10206465206440 / (1 + 0 + 2 + 0 + 6 + 4 + 6 + 5 + 2 + 0 + 6 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 10206465206393 and 10206465206402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127580815041 + ... + 127580815120.

Almost surely, 2^{10206465206440} is an apocalyptic number.

10206465206440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10206465206440 is an abundant number, since it is smaller than the sum of its proper divisors (12758081508140).

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

10206465206440 is a wasteful number, since it uses less digits than its factorization.

10206465206440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255161630172 (or 255161630168 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 10206465206440 in words is "ten trillion, two hundred six billion, four hundred sixty-five million, two hundred six thousand, four hundred forty".