418141656 has 128 divisors (see below), whose sum is σ = 1283558400. Its totient is φ = 125452800.

The previous prime is 418141621. The next prime is 418141663. The reversal of 418141656 is 656141814.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 418141656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81981 + ... + 86931.

It is an arithmetic number, because the mean of its divisors is an integer number (10027800).

Almost surely, 2^418141656 is an apocalyptic number.

418141656 is a gapful number since it is divisible by the number (46) 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 418141656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641779200).

418141656 is an abundant number, since it is smaller than the sum of its proper divisors (865416744).

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

418141656 is a wasteful number, since it uses less digits than its factorization.

418141656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4996 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 418141656 is about 20448.5123175257. The cubic root of 418141656 is about 747.7810897236.

The spelling of 418141656 in words is "four hundred eighteen million, one hundred forty-one thousand, six hundred fifty-six".