413550583568640 has 1152 divisors, whose sum is σ = 1736520738570240. Its totient is φ = 91199714918400.

The previous prime is 413550583568539. The next prime is 413550583568641. The reversal of 413550583568640 is 46865385055314.

413550583568640 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 5 + 0 + 5 + 8 + 3 + 568 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (413550583568641) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2482257822 + ... + 2482424418.

Almost surely, 2^{413550583568640} is an apocalyptic number.

413550583568640 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 413550583568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868260369285120).

413550583568640 is an abundant number, since it is smaller than the sum of its proper divisors (1322970155001600).

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

413550583568640 is a wasteful number, since it uses less digits than its factorization.

413550583568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166996 (or 166976 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 413550583568640 in words is "four hundred thirteen trillion, five hundred fifty billion, five hundred eighty-three million, five hundred sixty-eight thousand, six hundred forty".