421118216640 has 504 divisors, whose sum is σ = 1661375517984. Its totient is φ = 97648742400.

The previous prime is 421118216627. The next prime is 421118216669. The reversal of 421118216640 is 46612811124.

421118216640 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 1 + 8 + 2 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 421118216595 and 421118216604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7988770 + ... + 8041310.

It is an arithmetic number, because the mean of its divisors is an integer number (3296379996).

Almost surely, 2^421118216640 is an apocalyptic number.

421118216640 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 421118216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830687758992).

421118216640 is an abundant number, since it is smaller than the sum of its proper divisors (1240257301344).

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

421118216640 is a wasteful number, since it uses less digits than its factorization.

421118216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52609 (or 52585 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 421118216640 in words is "four hundred twenty-one billion, one hundred eighteen million, two hundred sixteen thousand, six hundred forty".