413233241320020 has 192 divisors, whose sum is σ = 1265588434656000. Its totient is φ = 99912026787840.

The previous prime is 413233241320013. The next prime is 413233241320063. The reversal of 413233241320020 is 20023142332314.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 413233241320020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3485699706 + ... + 3485818254.

It is an arithmetic number, because the mean of its divisors is an integer number (6591606430500).

Almost surely, 2^{413233241320020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413233241320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632794217328000).

413233241320020 is an abundant number, since it is smaller than the sum of its proper divisors (852355193335980).

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

413233241320020 is a wasteful number, since it uses less digits than its factorization.

413233241320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132538 (or 132536 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 413233241320020 its reverse (20023142332314), we get a palindrome (433256383652334).

The spelling of 413233241320020 in words is "four hundred thirteen trillion, two hundred thirty-three billion, two hundred forty-one million, three hundred twenty thousand, twenty".