413310544000000 has 154 divisors (see below), whose sum is σ = 1032758651027870. Its totient is φ = 165324211200000.

The previous prime is 413310543999971. The next prime is 413310544000007. The reversal of 413310544000000 is 445013314.

It can be written as a sum of positive squares in 7 ways, for example, as 406273365938176 + 7037178061824 = 20156224^2 + 2652768^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413310544000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3084046 + ... + 28915954.

Almost surely, 2^{413310544000000} is an apocalyptic number.

413310544000000 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 413310544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516379325513935).

413310544000000 is an abundant number, since it is smaller than the sum of its proper divisors (619448107027870).

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

413310544000000 is an frugal number, since it uses more digits than its factorization.

413310544000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25831959 (or 25831916 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 413310544000000 its reverse (445013314), we get a palindrome (413310989013314).

The spelling of 413310544000000 in words is "four hundred thirteen trillion, three hundred ten billion, five hundred forty-four million", and thus it is an aban number.