413402011034320 has 160 divisors (see below), whose sum is σ = 1268818884608256. Its totient is φ = 121273011609600.

The previous prime is 413402011034251. The next prime is 413402011034339. The reversal of 413402011034320 is 23430110204314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1973739871 + ... + 1973949310.

Almost surely, 2^{413402011034320} is an apocalyptic number.

413402011034320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413402011034320 is an abundant number, since it is smaller than the sum of its proper divisors (855416873573936).

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

413402011034320 is a wasteful number, since it uses less digits than its factorization.

413402011034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947689229 (or 3947689223 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 413402011034320 its reverse (23430110204314), we get a palindrome (436832121238634).

The spelling of 413402011034320 in words is "four hundred thirteen trillion, four hundred two billion, eleven million, thirty-four thousand, three hundred twenty".