414678174106560 has 5376 divisors, whose sum is σ = 1874459020492800. Its totient is φ = 75266862612480.

The previous prime is 414678174106531. The next prime is 414678174106561. The reversal of 414678174106560 is 65601471876414.

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

It is a junction number, because it is equal to n+sod(n) for n = 414678174106494 and 414678174106503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414678174106561) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3265182473217 + ... + 3265182473343.

It is an arithmetic number, because the mean of its divisors is an integer number (348671692800).

Almost surely, 2^{414678174106560} is an apocalyptic number.

414678174106560 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 414678174106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937229510246400).

414678174106560 is an abundant number, since it is smaller than the sum of its proper divisors (1459780846386240).

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

414678174106560 is a wasteful number, since it uses less digits than its factorization.

414678174106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 414678174106560 in words is "four hundred fourteen trillion, six hundred seventy-eight billion, one hundred seventy-four million, one hundred six thousand, five hundred sixty".