413300215523440 has 80 divisors (see below), whose sum is σ = 1100818713093120. Its totient is φ = 141364737803520.

The previous prime is 413300215523401. The next prime is 413300215523443. The reversal of 413300215523440 is 44325512003314.

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

It is a self number, because there is not a number n which added to its sum of digits gives 413300215523440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413300215523443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880476696 + ... + 880945975.

It is an arithmetic number, because the mean of its divisors is an integer number (13760233913664).

Almost surely, 2^{413300215523440} is an apocalyptic number.

413300215523440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413300215523440 is an abundant number, since it is smaller than the sum of its proper divisors (687518497569680).

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

413300215523440 is a wasteful number, since it uses less digits than its factorization.

413300215523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761423110 (or 1761423104 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 413300215523440 its reverse (44325512003314), we get a palindrome (457625727526754).

The spelling of 413300215523440 in words is "four hundred thirteen trillion, three hundred billion, two hundred fifteen million, five hundred twenty-three thousand, four hundred forty".