414875668480 has 832 divisors, whose sum is σ = 1302021439488. Its totient is φ = 123367587840.

The previous prime is 414875668477. The next prime is 414875668517. The reversal of 414875668480 is 84866578414.

It is a tau number, because it is divible by the number of its divisors (832).

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, 2484285357 + ... + 2484285523.

Almost surely, 2^414875668480 is an apocalyptic number.

414875668480 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 414875668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651010719744).

414875668480 is an abundant number, since it is smaller than the sum of its proper divisors (887145771008).

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

414875668480 is a wasteful number, since it uses less digits than its factorization.

414875668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 61.

The spelling of 414875668480 in words is "four hundred fourteen billion, eight hundred seventy-five million, six hundred sixty-eight thousand, four hundred eighty".