4284414907344 has 180 divisors, whose sum is σ = 14193354588868. Its totient is φ = 1198437672960.

The previous prime is 4284414907259. The next prime is 4284414907373. The reversal of 4284414907344 is 4437094144824.

4284414907344 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 41 + 490 + 73 + 44 = 666.

4284414907344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 256125063744 + 4028289843600 = 506088^2 + 2007060^2 .

It is a super-2 number, since 2×4284414907344² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9230857 + ... + 9683880.

Almost surely, 2^{4284414907344} is an apocalyptic number.

4284414907344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4284414907344 is an abundant number, since it is smaller than the sum of its proper divisors (9908939681524).

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

4284414907344 is a wasteful number, since it uses less digits than its factorization.

4284414907344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18914786 (or 18914766 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 4284414907344 in words is "four trillion, two hundred eighty-four billion, four hundred fourteen million, nine hundred seven thousand, three hundred forty-four".