413510676480 has 2080 divisors, whose sum is σ = 1808547637248. Its totient is φ = 89181388800.

The previous prime is 413510676457. The next prime is 413510676487. The reversal of 413510676480 is 84676015314.

413510676480 is a `hidden beast` number, since 4 + 13 + 510 + 67 + 64 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (413510676487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9616527339 + ... + 9616527381.

Almost surely, 2^413510676480 is an apocalyptic number.

413510676480 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 413510676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904273818624).

413510676480 is an abundant number, since it is smaller than the sum of its proper divisors (1395036960768).

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

413510676480 is a wasteful number, since it uses less digits than its factorization.

413510676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 413510676480 in words is "four hundred thirteen billion, five hundred ten million, six hundred seventy-six thousand, four hundred eighty".