413582754816 has 1485 divisors, whose sum is σ = 1635489893037. Its totient is φ = 103719813120.

The previous prime is 413582754799. The next prime is 413582754817. The reversal of 413582754816 is 618457285314.

It is a happy number.

The square root of 413582754816 is 643104.

It is a perfect power (a square), and thus also a powerful number.

413582754816 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 82 + 7 + 548 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 216872764416 + 196709990400 = 465696^2 + 443520^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6451200) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (413582754817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14261474290 + ... + 14261474318.

Almost surely, 2^413582754816 is an apocalyptic number.

413582754816 is the 643104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413582754816

413582754816 is an abundant number, since it is smaller than the sum of its proper divisors (1221907138221).

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

413582754816 is a wasteful number, since it uses less digits than its factorization.

413582754816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 52 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 413582754816 in words is "four hundred thirteen billion, five hundred eighty-two million, seven hundred fifty-four thousand, eight hundred sixteen".