413102413040 has 80 divisors (see below), whose sum is σ = 1002358898496. Its totient is φ = 158035046400.

The previous prime is 413102413037. The next prime is 413102413043. The reversal of 413102413040 is 40314201314.

It is an interprime number because it is at equal distance from previous prime (413102413037) and next prime (413102413043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 413102412997 and 413102413015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413102413043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22514270 + ... + 22532610.

Almost surely, 2^413102413040 is an apocalyptic number.

413102413040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413102413040 is an abundant number, since it is smaller than the sum of its proper divisors (589256485456).

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

413102413040 is a wasteful number, since it uses less digits than its factorization.

413102413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30618 (or 30612 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 413102413040 its reverse (40314201314), we get a palindrome (453416614354).

The spelling of 413102413040 in words is "four hundred thirteen billion, one hundred two million, four hundred thirteen thousand, forty".