418242343680 has 864 divisors, whose sum is σ = 1691254656000. Its totient is φ = 93457317888.

The previous prime is 418242343663. The next prime is 418242343691. The reversal of 418242343680 is 86343242814.

It is a happy number.

418242343680 is a `hidden beast` number, since 4 + 1 + 8 + 242 + 343 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1075172926 + ... + 1075173314.

Almost surely, 2^418242343680 is an apocalyptic number.

418242343680 is a gapful number since it is divisible by the number (40) 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 418242343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845627328000).

418242343680 is an abundant number, since it is smaller than the sum of its proper divisors (1273012312320).

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

418242343680 is a wasteful number, since it uses less digits than its factorization.

418242343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 418242343680 in words is "four hundred eighteen billion, two hundred forty-two million, three hundred forty-three thousand, six hundred eighty".