413429431760 has 20 divisors (see below), whose sum is σ = 961223429028. Its totient is φ = 165371772672.

The previous prime is 413429431717. The next prime is 413429431781. The reversal of 413429431760 is 67134924314.

It can be written as a sum of positive squares in 2 ways, for example, as 136420899904 + 277008531856 = 369352^2 + 526316^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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, 2583933869 + ... + 2583934028.

Almost surely, 2^413429431760 is an apocalyptic number.

413429431760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413429431760 is an abundant number, since it is smaller than the sum of its proper divisors (547793997268).

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

413429431760 is a wasteful number, since it uses less digits than its factorization.

413429431760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167867910 (or 5167867904 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 413429431760 in words is "four hundred thirteen billion, four hundred twenty-nine million, four hundred thirty-one thousand, seven hundred sixty".