413142410213024 has 24 divisors (see below), whose sum is σ = 819311157488628. Its totient is φ = 205063386088960.

The previous prime is 413142410212991. The next prime is 413142410213053. The reversal of 413142410213024 is 420312014241314.

It can be written as a sum of positive squares in 2 ways, for example, as 396254091201424 + 16888319011600 = 19906132^2 + 4109540^2 .

It is a super-2 number, since 2×413142410213024² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 47119339847 + ... + 47119348614.

Almost surely, 2^{413142410213024} is an apocalyptic number.

It is an amenable number.

413142410213024 is a deficient number, since it is larger than the sum of its proper divisors (406168747275604).

413142410213024 is a wasteful number, since it uses less digits than its factorization.

413142410213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94238688608 (or 94238688600 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 413142410213024 its reverse (420312014241314), we get a palindrome (833454424454338).

The spelling of 413142410213024 in words is "four hundred thirteen trillion, one hundred forty-two billion, four hundred ten million, two hundred thirteen thousand, twenty-four".