413105115324000 has 192 divisors, whose sum is σ = 1476362572618752. Its totient is φ = 100146694592000.

The previous prime is 413105115323983. The next prime is 413105115324091. The reversal of 413105115324000 is 423511501314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1564660104 + ... + 1564924103.

It is an arithmetic number, because the mean of its divisors is an integer number (7689388399056).

Almost surely, 2^{413105115324000} is an apocalyptic number.

413105115324000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413105115324000 is an abundant number, since it is smaller than the sum of its proper divisors (1063257457294752).

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

413105115324000 is a wasteful number, since it uses less digits than its factorization.

413105115324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129584246 (or 3129584228 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 413105115324000 its reverse (423511501314), we get a palindrome (413528626825314).

The spelling of 413105115324000 in words is "four hundred thirteen trillion, one hundred five billion, one hundred fifteen million, three hundred twenty-four thousand".