413031400020 has 192 divisors, whose sum is σ = 1294568352000. Its totient is φ = 109322583552.

The previous prime is 413031400013. The next prime is 413031400021. The reversal of 413031400020 is 20004130314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413031399966 and 413031400002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413031400021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61560426 + ... + 61567134.

It is an arithmetic number, because the mean of its divisors is an integer number (6742543500).

Almost surely, 2^413031400020 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 413031400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647284176000).

413031400020 is an abundant number, since it is smaller than the sum of its proper divisors (881536951980).

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

413031400020 is a wasteful number, since it uses less digits than its factorization.

413031400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 413031400020 its reverse (20004130314), we get a palindrome (433035530334).

The spelling of 413031400020 in words is "four hundred thirteen billion, thirty-one million, four hundred thousand, twenty".