4198887504 has 320 divisors, whose sum is σ = 14536212480. Its totient is φ = 1135088640.

The previous prime is 4198887499. The next prime is 4198887523. The reversal of 4198887504 is 4057888914.

4198887504 is a `hidden beast` number, since 41 + 98 + 8 + 8 + 7 + 504 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4405492 + ... + 4406444.

It is an arithmetic number, because the mean of its divisors is an integer number (45425664).

Almost surely, 2^4198887504 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 4198887504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268106240).

4198887504 is an abundant number, since it is smaller than the sum of its proper divisors (10337324976).

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

4198887504 is a wasteful number, since it uses less digits than its factorization.

4198887504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 4198887504 is about 64798.8233226499. The cubic root of 4198887504 is about 1613.2861784516.

The spelling of 4198887504 in words is "four billion, one hundred ninety-eight million, eight hundred eighty-seven thousand, five hundred four".