418785308720 has 80 divisors (see below), whose sum is σ = 994431129120. Its totient is φ = 163967711232.

The previous prime is 418785308693. The next prime is 418785308729. The reversal of 418785308720 is 27803587814.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×418785308720² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (418785308729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 909362 + ... + 1290158.

It is an arithmetic number, because the mean of its divisors is an integer number (12430389114).

Almost surely, 2^418785308720 is an apocalyptic number.

418785308720 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 418785308720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497215564560).

418785308720 is an abundant number, since it is smaller than the sum of its proper divisors (575645820400).

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

418785308720 is a wasteful number, since it uses less digits than its factorization.

418785308720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381102 (or 381096 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 53.

The spelling of 418785308720 in words is "four hundred eighteen billion, seven hundred eighty-five million, three hundred eight thousand, seven hundred twenty".