414420001344 has 168 divisors, whose sum is σ = 1243092052800. Its totient is φ = 131751662592.

The previous prime is 414420001297. The next prime is 414420001379. The reversal of 414420001344 is 443100024414.

414420001344 is a `hidden beast` number, since 414 + 4 + 200 + 0 + 1 + 3 + 44 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4551982 + ... + 4642130.

Almost surely, 2^414420001344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414420001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621546026400).

414420001344 is an abundant number, since it is smaller than the sum of its proper divisors (828672051456).

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

414420001344 is a wasteful number, since it uses less digits than its factorization.

414420001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90537 (or 90524 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414420001344 its reverse (443100024414), we get a palindrome (857520025758).

The spelling of 414420001344 in words is "four hundred fourteen billion, four hundred twenty million, one thousand, three hundred forty-four".