413301125440 has 224 divisors, whose sum is σ = 1154688226560. Its totient is φ = 137955557376.

The previous prime is 413301125437. The next prime is 413301125441. The reversal of 413301125440 is 44521103314.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 413301125399 and 413301125408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413301125441) 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, 30141306 + ... + 30155014.

Almost surely, 2^413301125440 is an apocalyptic number.

413301125440 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 413301125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577344113280).

413301125440 is an abundant number, since it is smaller than the sum of its proper divisors (741387101120).

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

413301125440 is a wasteful number, since it uses less digits than its factorization.

413301125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089 (or 14079 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 413301125440 its reverse (44521103314), we get a palindrome (457822228754).

The spelling of 413301125440 in words is "four hundred thirteen billion, three hundred one million, one hundred twenty-five thousand, four hundred forty".