414076806144 has 99 divisors (see below), whose sum is σ = 1195816191843. Its totient is φ = 138005010432.

The previous prime is 414076806133. The next prime is 414076806163. The reversal of 414076806144 is 441608670414.

The square root of 414076806144 is 643488.

It is a perfect power (a square), and thus also a powerful number.

414076806144 is a `hidden beast` number, since 41 + 407 + 68 + 0 + 6 + 144 = 666.

It is a super-2 number, since 2×414076806144² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414076806144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61771497 + ... + 61778199.

Almost surely, 2^414076806144 is an apocalyptic number.

414076806144 is the 643488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414076806144

414076806144 is an abundant number, since it is smaller than the sum of its proper divisors (781739385699).

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

414076806144 is an frugal number, since it uses more digits than its factorization.

414076806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13432 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 414076806144 in words is "four hundred fourteen billion, seventy-six million, eight hundred six thousand, one hundred forty-four".