413047784747520 has 1280 divisors, whose sum is σ = 1676076079265280. Its totient is φ = 95515645575168.

The previous prime is 413047784747501. The next prime is 413047784747557. The reversal of 413047784747520 is 25747487740314.

413047784747520 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 4 + 7 + 78 + 474 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 8355684724 + ... + 8355734156.

It is an arithmetic number, because the mean of its divisors is an integer number (1309434436926).

Almost surely, 2^{413047784747520} is an apocalyptic number.

413047784747520 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 413047784747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838038039632640).

413047784747520 is an abundant number, since it is smaller than the sum of its proper divisors (1263028294517760).

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

413047784747520 is a wasteful number, since it uses less digits than its factorization.

413047784747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50042 (or 50020 counting only the distinct ones).

The product of its (nonzero) digits is 147517440, while the sum is 63.

The spelling of 413047784747520 in words is "four hundred thirteen trillion, forty-seven billion, seven hundred eighty-four million, seven hundred forty-seven thousand, five hundred twenty".