418827252480 has 576 divisors, whose sum is σ = 1662753512448. Its totient is φ = 87485644800.

The previous prime is 418827252433. The next prime is 418827252491. The reversal of 418827252480 is 84252728814.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35287507 + ... + 35299373.

It is an arithmetic number, because the mean of its divisors is an integer number (2886724848).

Almost surely, 2^418827252480 is an apocalyptic number.

418827252480 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 418827252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831376756224).

418827252480 is an abundant number, since it is smaller than the sum of its proper divisors (1243926259968).

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

418827252480 is a wasteful number, since it uses less digits than its factorization.

418827252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012 (or 11998 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 51.

The spelling of 418827252480 in words is "four hundred eighteen billion, eight hundred twenty-seven million, two hundred fifty-two thousand, four hundred eighty".