418320372480 has 144 divisors (see below), whose sum is σ = 1337004797184. Its totient is φ = 111469096960.

The previous prime is 418320372467. The next prime is 418320372511. The reversal of 418320372480 is 84273023814.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5209435 + ... + 5289125.

It is an arithmetic number, because the mean of its divisors is an integer number (9284755536).

Almost surely, 2^418320372480 is an apocalyptic number.

418320372480 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 418320372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668502398592).

418320372480 is an abundant number, since it is smaller than the sum of its proper divisors (918684424704).

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

418320372480 is a wasteful number, since it uses less digits than its factorization.

418320372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81082 (or 81068 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 418320372480 in words is "four hundred eighteen billion, three hundred twenty million, three hundred seventy-two thousand, four hundred eighty".