414478471680 has 1440 divisors, whose sum is σ = 1858309060608. Its totient is φ = 84536524800.

The previous prime is 414478471661. The next prime is 414478471717. The reversal of 414478471680 is 86174874414.

414478471680 is a `hidden beast` number, since 4 + 1 + 4 + 478 + 4 + 7 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 454970425 + ... + 454971335.

Almost surely, 2^414478471680 is an apocalyptic number.

414478471680 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 414478471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929154530304).

414478471680 is an abundant number, since it is smaller than the sum of its proper divisors (1443830588928).

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

414478471680 is a wasteful number, since it uses less digits than its factorization.

414478471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 414478471680 in words is "four hundred fourteen billion, four hundred seventy-eight million, four hundred seventy-one thousand, six hundred eighty".