414484519680 has 864 divisors, whose sum is σ = 1882113891840. Its totient is φ = 81590353920.

The previous prime is 414484519639. The next prime is 414484519697. The reversal of 414484519680 is 86915484414.

414484519680 is a `hidden beast` number, since 4 + 1 + 4 + 48 + 4 + 519 + 6 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16841464 + ... + 16866056.

It is an arithmetic number, because the mean of its divisors is an integer number (2178372560).

Almost surely, 2^414484519680 is an apocalyptic number.

414484519680 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 414484519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941056945920).

414484519680 is an abundant number, since it is smaller than the sum of its proper divisors (1467629372160).

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

414484519680 is a wasteful number, since it uses less digits than its factorization.

414484519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24657 (or 24640 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 414484519680 in words is "four hundred fourteen billion, four hundred eighty-four million, five hundred nineteen thousand, six hundred eighty".