413114442440 has 128 divisors (see below), whose sum is σ = 1069716049920. Its totient is φ = 140652288000.

The previous prime is 413114442439. The next prime is 413114442443. The reversal of 413114442440 is 44244411314.

It is a junction number, because it is equal to n+sod(n) for n = 413114442397 and 413114442406.

It is not an unprimeable number, because it can be changed into a prime (413114442443) 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, 32135054 + ... + 32147906.

It is an arithmetic number, because the mean of its divisors is an integer number (8357156640).

Almost surely, 2^413114442440 is an apocalyptic number.

413114442440 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 413114442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534858024960).

413114442440 is an abundant number, since it is smaller than the sum of its proper divisors (656601607480).

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

413114442440 is a wasteful number, since it uses less digits than its factorization.

413114442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13663 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 413114442440 its reverse (44244411314), we get a palindrome (457358853754).

The spelling of 413114442440 in words is "four hundred thirteen billion, one hundred fourteen million, four hundred forty-two thousand, four hundred forty".