418985848960 has 128 divisors (see below), whose sum is σ = 1151348256000. Its totient is φ = 142821666816.

The previous prime is 418985848949. The next prime is 418985848997. The reversal of 418985848960 is 69848589814.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 418985848960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504741 + ... + 1045339.

It is an arithmetic number, because the mean of its divisors is an integer number (8994908250).

Almost surely, 2^418985848960 is an apocalyptic number.

418985848960 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 418985848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575674128000).

418985848960 is an abundant number, since it is smaller than the sum of its proper divisors (732362407040).

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

418985848960 is a wasteful number, since it uses less digits than its factorization.

418985848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540798 (or 540786 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 70.

The spelling of 418985848960 in words is "four hundred eighteen billion, nine hundred eighty-five million, eight hundred forty-eight thousand, nine hundred sixty".