418409400960 has 640 divisors, whose sum is σ = 1545139411200. Its totient is φ = 107834056704.

The previous prime is 418409400907. The next prime is 418409400977. The reversal of 418409400960 is 69004904814.

418409400960 is a `hidden beast` number, since 4 + 184 + 0 + 9 + 400 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 202226806 + ... + 202228874.

It is an arithmetic number, because the mean of its divisors is an integer number (2414280330).

Almost surely, 2^418409400960 is an apocalyptic number.

418409400960 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 418409400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772569705600).

418409400960 is an abundant number, since it is smaller than the sum of its proper divisors (1126730010240).

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

418409400960 is a wasteful number, since it uses less digits than its factorization.

418409400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 418409400960 in words is "four hundred eighteen billion, four hundred nine million, four hundred thousand, nine hundred sixty".