413761884480 has 448 divisors, whose sum is σ = 1708880463360. Its totient is φ = 92266905600.

The previous prime is 413761884467. The next prime is 413761884527. The reversal of 413761884480 is 84488167314.

413761884480 is a `hidden beast` number, since 4 + 1 + 3 + 76 + 18 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2396250 + ... + 2563110.

It is an arithmetic number, because the mean of its divisors is an integer number (3814465320).

Almost surely, 2^413761884480 is an apocalyptic number.

413761884480 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 413761884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854440231680).

413761884480 is an abundant number, since it is smaller than the sum of its proper divisors (1295118578880).

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

413761884480 is a wasteful number, since it uses less digits than its factorization.

413761884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166935 (or 166919 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 413761884480 in words is "four hundred thirteen billion, seven hundred sixty-one million, eight hundred eighty-four thousand, four hundred eighty".