413523151320 has 128 divisors (see below), whose sum is σ = 1271300184000. Its totient is φ = 107543224320.

The previous prime is 413523151291. The next prime is 413523151333. The reversal of 413523151320 is 23151325314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14593326 + ... + 14621634.

Almost surely, 2^413523151320 is an apocalyptic number.

413523151320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413523151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635650092000).

413523151320 is an abundant number, since it is smaller than the sum of its proper divisors (857777032680).

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

413523151320 is a wasteful number, since it uses less digits than its factorization.

413523151320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31333 (or 31329 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 413523151320 its reverse (23151325314), we get a palindrome (436674476634).

The spelling of 413523151320 in words is "four hundred thirteen billion, five hundred twenty-three million, one hundred fifty-one thousand, three hundred twenty".