414861260160 has 128 divisors (see below), whose sum is σ = 1327145868000. Its totient is φ = 110230142976.

The previous prime is 414861260159. The next prime is 414861260183. The reversal of 414861260160 is 61062168414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141816 + ... + 921864.

Almost surely, 2^414861260160 is an apocalyptic number.

414861260160 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 414861260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663572934000).

414861260160 is an abundant number, since it is smaller than the sum of its proper divisors (912284607840).

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

414861260160 is a wasteful number, since it uses less digits than its factorization.

414861260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780348 (or 780336 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 414861260160 in words is "four hundred fourteen billion, eight hundred sixty-one million, two hundred sixty thousand, one hundred sixty".