418703020344 has 256 divisors, whose sum is σ = 1414093593600. Its totient is φ = 112057344000.

The previous prime is 418703020313. The next prime is 418703020367. The reversal of 418703020344 is 443020307814.

418703020344 is a `hidden beast` number, since 4 + 1 + 8 + 7 + 0 + 302 + 0 + 344 = 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 = 418703020299 and 418703020308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5384944 + ... + 5462144.

It is an arithmetic number, because the mean of its divisors is an integer number (5523803100).

Almost surely, 2^418703020344 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 418703020344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707046796800).

418703020344 is an abundant number, since it is smaller than the sum of its proper divisors (995390573256).

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

418703020344 is a wasteful number, since it uses less digits than its factorization.

418703020344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77451 (or 77441 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 418703020344 in words is "four hundred eighteen billion, seven hundred three million, twenty thousand, three hundred forty-four".