418475392020 has 288 divisors, whose sum is σ = 1467408983040. Its totient is φ = 94554915840.

The previous prime is 418475392001. The next prime is 418475392031. The reversal of 418475392020 is 20293574814.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63585130 + ... + 63591710.

It is an arithmetic number, because the mean of its divisors is an integer number (5095170080).

Almost surely, 2^418475392020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418475392020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733704491520).

418475392020 is an abundant number, since it is smaller than the sum of its proper divisors (1048933591020).

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

418475392020 is a wasteful number, since it uses less digits than its factorization.

418475392020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 418475392020 in words is "four hundred eighteen billion, four hundred seventy-five million, three hundred ninety-two thousand, twenty".