413103314444440 has 64 divisors (see below), whose sum is σ = 984160507125600. Its totient is φ = 155520835196928.

The previous prime is 413103314444399. The next prime is 413103314444449. The reversal of 413103314444440 is 44444413301314.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 413103314444393 and 413103314444402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413103314444449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408301906 + ... + 409312414.

Almost surely, 2^{413103314444440} is an apocalyptic number.

413103314444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413103314444440 is an abundant number, since it is smaller than the sum of its proper divisors (571057192681160).

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

413103314444440 is a wasteful number, since it uses less digits than its factorization.

413103314444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611724 (or 1611720 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 413103314444440 its reverse (44444413301314), we get a palindrome (457547727745754).

The spelling of 413103314444440 in words is "four hundred thirteen trillion, one hundred three billion, three hundred fourteen million, four hundred forty-four thousand, four hundred forty".