413322232440 has 128 divisors (see below), whose sum is σ = 1378424678400. Its totient is φ = 98458882560.

The previous prime is 413322232373. The next prime is 413322232511. The reversal of 413322232440 is 44232223314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 413322232398 and 413322232407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4225030 + ... + 4321749.

It is an arithmetic number, because the mean of its divisors is an integer number (10768942800).

Almost surely, 2^413322232440 is an apocalyptic number.

413322232440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413322232440 is an abundant number, since it is smaller than the sum of its proper divisors (965102445960).

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

413322232440 is a wasteful number, since it uses less digits than its factorization.

413322232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546837 (or 8546833 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 413322232440 its reverse (44232223314), we get a palindrome (457554455754).

The spelling of 413322232440 in words is "four hundred thirteen billion, three hundred twenty-two million, two hundred thirty-two thousand, four hundred forty".