4918419840 has 128 divisors (see below), whose sum is σ = 15728865120. Its totient is φ = 1307279360.

The previous prime is 4918419811. The next prime is 4918419853. The reversal of 4918419840 is 489148194.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4918419840.

It is a congruent number.

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, 604600 + ... + 612680.

Almost surely, 2^4918419840 is an apocalyptic number.

4918419840 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 4918419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864432560).

4918419840 is an abundant number, since it is smaller than the sum of its proper divisors (10810445280).

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

4918419840 is a wasteful number, since it uses less digits than its factorization.

4918419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8420 (or 8408 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 4918419840 is about 70131.4468694323. The cubic root of 4918419840 is about 1700.6248959898.

The spelling of 4918419840 in words is "four billion, nine hundred eighteen million, four hundred nineteen thousand, eight hundred forty".