4198547520 has 280 divisors, whose sum is σ = 15286353984. Its totient is φ = 1093284864.

The previous prime is 4198547513. The next prime is 4198547569. The reversal of 4198547520 is 257458914.

4198547520 is a `hidden beast` number, since 4 + 1 + 9 + 85 + 47 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1112677 + ... + 1116443.

Almost surely, 2^4198547520 is an apocalyptic number.

4198547520 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 4198547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643176992).

4198547520 is an abundant number, since it is smaller than the sum of its proper divisors (11087806464).

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

4198547520 is a wasteful number, since it uses less digits than its factorization.

4198547520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4198547520 is about 64796.1998885737. The cubic root of 4198547520 is about 1613.2426346723.

The spelling of 4198547520 in words is "four billion, one hundred ninety-eight million, five hundred forty-seven thousand, five hundred twenty".