413010120402 has 128 divisors (see below), whose sum is σ = 1054529740800. Its totient is φ = 118500408000.

The previous prime is 413010120293. The next prime is 413010120407. The reversal of 413010120402 is 204021010314.

413010120402 is a `hidden beast` number, since 4 + 130 + 10 + 120 + 402 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (413010120407) 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, 22009608 + ... + 22028364.

It is an arithmetic number, because the mean of its divisors is an integer number (8238513600).

Almost surely, 2^413010120402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413010120402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527264870400).

413010120402 is an abundant number, since it is smaller than the sum of its proper divisors (641519620398).

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

413010120402 is a wasteful number, since it uses less digits than its factorization.

413010120402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20749 (or 20743 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 413010120402 its reverse (204021010314), we get a palindrome (617031130716).

The spelling of 413010120402 in words is "four hundred thirteen billion, ten million, one hundred twenty thousand, four hundred two".