413244420240 has 160 divisors (see below), whose sum is σ = 1286560154880. Its totient is φ = 109726138368.

The previous prime is 413244420233. The next prime is 413244420247. The reversal of 413244420240 is 42024442314.

It is an interprime number because it is at equal distance from previous prime (413244420233) and next prime (413244420247).

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

It is a junction number, because it is equal to n+sod(n) for n = 413244420198 and 413244420207.

It is not an unprimeable number, because it can be changed into a prime (413244420247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65146509 + ... + 65152851.

It is an arithmetic number, because the mean of its divisors is an integer number (8041000968).

Almost surely, 2^413244420240 is an apocalyptic number.

413244420240 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 413244420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643280077440).

413244420240 is an abundant number, since it is smaller than the sum of its proper divisors (873315734640).

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

413244420240 is a wasteful number, since it uses less digits than its factorization.

413244420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 413244420240 its reverse (42024442314), we get a palindrome (455268862554).

The spelling of 413244420240 in words is "four hundred thirteen billion, two hundred forty-four million, four hundred twenty thousand, two hundred forty".