418341202128 has 120 divisors (see below), whose sum is σ = 1208958423296. Its totient is φ = 134902195200.

The previous prime is 418341202109. The next prime is 418341202163. The reversal of 418341202128 is 821202143814.

418341202128 is a `hidden beast` number, since 41 + 83 + 412 + 0 + 2 + 128 = 666.

It is a super-2 number, since 2×418341202128² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 418341202092 and 418341202101.

It is a congruent number.

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, 14346123 + ... + 14375253.

Almost surely, 2^418341202128 is an apocalyptic number.

418341202128 is a gapful number since it is divisible by the number (48) 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 418341202128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604479211648).

418341202128 is an abundant number, since it is smaller than the sum of its proper divisors (790617221168).

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

418341202128 is a wasteful number, since it uses less digits than its factorization.

418341202128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32393 (or 32384 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 418341202128 in words is "four hundred eighteen billion, three hundred forty-one million, two hundred two thousand, one hundred twenty-eight".