414160486471680 has 768 divisors, whose sum is σ = 1438474826880000. Its totient is φ = 101122451177472.

The previous prime is 414160486471679. The next prime is 414160486471729. The reversal of 414160486471680 is 86174684061414.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 77659942294 + ... + 77659947626.

It is an arithmetic number, because the mean of its divisors is an integer number (1873014097500).

Almost surely, 2^{414160486471680} is an apocalyptic number.

414160486471680 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 414160486471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719237413440000).

414160486471680 is an abundant number, since it is smaller than the sum of its proper divisors (1024314340408320).

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

414160486471680 is a wasteful number, since it uses less digits than its factorization.

414160486471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6914 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 414160486471680 in words is "four hundred fourteen trillion, one hundred sixty billion, four hundred eighty-six million, four hundred seventy-one thousand, six hundred eighty".