413024145350320 has 40 divisors (see below), whose sum is σ = 1097464157646624. Its totient is φ = 141608278405632.

The previous prime is 413024145350281. The next prime is 413024145350351. The reversal of 413024145350320 is 23053541420314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 413024145350320.

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 7 ways as a sum of consecutive naturals, for example, 368771557789 + ... + 368771558908.

Almost surely, 2^{413024145350320} is an apocalyptic number.

413024145350320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413024145350320 is an abundant number, since it is smaller than the sum of its proper divisors (684440012296304).

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

413024145350320 is a wasteful number, since it uses less digits than its factorization.

413024145350320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737543116717 (or 737543116711 counting only the distinct ones).

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

Adding to 413024145350320 its reverse (23053541420314), we get a palindrome (436077686770634).

The spelling of 413024145350320 in words is "four hundred thirteen trillion, twenty-four billion, one hundred forty-five million, three hundred fifty thousand, three hundred twenty".