414142606080 has 1296 divisors, whose sum is σ = 1790080175520. Its totient is φ = 91299446784.

The previous prime is 414142606067. The next prime is 414142606123. The reversal of 414142606080 is 80606241414.

It is a happy number.

414142606080 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 42 + 6 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 441987372 + ... + 441988308.

Almost surely, 2^414142606080 is an apocalyptic number.

414142606080 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 414142606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895040087760).

414142606080 is an abundant number, since it is smaller than the sum of its proper divisors (1375937569440).

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

414142606080 is an equidigital number, since it uses as much as digits as its factorization.

414142606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 414142606080 its reverse (80606241414), we get a palindrome (494748847494).

The spelling of 414142606080 in words is "four hundred fourteen billion, one hundred forty-two million, six hundred six thousand, eighty".