418428745344 has 192 divisors, whose sum is σ = 1212512301000. Its totient is φ = 138500997120.

The previous prime is 418428745327. The next prime is 418428745351. The reversal of 418428745344 is 443547824814.

418428745344 is a `hidden beast` number, since 4 + 1 + 84 + 28 + 7 + 4 + 534 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 385045070400 + 33383674944 = 620520^2 + 182712^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×418428745344² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218728132 + ... + 218730044.

Almost surely, 2^418428745344 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 418428745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606256150500).

418428745344 is an abundant number, since it is smaller than the sum of its proper divisors (794083555656).

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

418428745344 is a wasteful number, since it uses less digits than its factorization.

418428745344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3148 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 54.

The spelling of 418428745344 in words is "four hundred eighteen billion, four hundred twenty-eight million, seven hundred forty-five thousand, three hundred forty-four".