413070704640 has 1080 divisors, whose sum is σ = 1644582021264. Its totient is φ = 95079628800.

The previous prime is 413070704633. The next prime is 413070704677. The reversal of 413070704640 is 46407070314.

It is a happy number.

413070704640 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 7 + 0 + 7 + 0 + 4 + 640 = 666.

It is a super-2 number, since 2×413070704640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413070704595 and 413070704604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7793786854 + ... + 7793786906.

Almost surely, 2^413070704640 is an apocalyptic number.

413070704640 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 413070704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822291010632).

413070704640 is an abundant number, since it is smaller than the sum of its proper divisors (1231511316624).

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

413070704640 is a wasteful number, since it uses less digits than its factorization.

413070704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 413070704640 its reverse (46407070314), we get a palindrome (459477774954).

The spelling of 413070704640 in words is "four hundred thirteen billion, seventy million, seven hundred four thousand, six hundred forty".