418458216960 has 1280 divisors, whose sum is σ = 1831288504320. Its totient is φ = 88464752640.

The previous prime is 418458216959. The next prime is 418458216997. The reversal of 418458216960 is 69612854814.

418458216960 is a `hidden beast` number, since 41 + 8 + 4 + 582 + 16 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 418458216897 and 418458216906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 344977314 + ... + 344978526.

It is an arithmetic number, because the mean of its divisors is an integer number (1430694144).

Almost surely, 2^418458216960 is an apocalyptic number.

418458216960 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 418458216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915644252160).

418458216960 is an abundant number, since it is smaller than the sum of its proper divisors (1412830287360).

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

418458216960 is a wasteful number, since it uses less digits than its factorization.

418458216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 418458216960 in words is "four hundred eighteen billion, four hundred fifty-eight million, two hundred sixteen thousand, nine hundred sixty".