10434447680 has 56 divisors (see below), whose sum is σ = 26308632168. Its totient is φ = 3928260608.

The previous prime is 10434447677. The next prime is 10434447701. The reversal of 10434447680 is 8674443401.

It can be written as a sum of positive squares in 4 ways, for example, as 2916864064 + 7517583616 = 54008^2 + 86704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 953609 + ... + 964488.

It is an arithmetic number, because the mean of its divisors is an integer number (469797003).

Almost surely, 2^10434447680 is an apocalyptic number.

10434447680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434447680 is an abundant number, since it is smaller than the sum of its proper divisors (15874184488).

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

10434447680 is a wasteful number, since it uses less digits than its factorization.

10434447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918131 (or 1918121 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 10434447680 in words is "ten billion, four hundred thirty-four million, four hundred forty-seven thousand, six hundred eighty".