4198884480 has 1152 divisors, whose sum is σ = 19046664000. Its totient is φ = 877879296.

The previous prime is 4198884479. The next prime is 4198884491. The reversal of 4198884480 is 844888914.

It is a happy number.

4198884480 is a `hidden beast` number, since 4 + 1 + 9 + 88 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144789106 + ... + 144789134.

Almost surely, 2^4198884480 is an apocalyptic number.

4198884480 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 4198884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523332000).

4198884480 is an abundant number, since it is smaller than the sum of its proper divisors (14847779520).

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

4198884480 is a wasteful number, since it uses less digits than its factorization.

4198884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 4198884480 is about 64798.7999888887. The cubic root of 4198884480 is about 1613.2857911603.

The spelling of 4198884480 in words is "four billion, one hundred ninety-eight million, eight hundred eighty-four thousand, four hundred eighty".