4184998272 has 384 divisors, whose sum is σ = 15481519200. Its totient is φ = 1103155200.

The previous prime is 4184998271. The next prime is 4184998277. The reversal of 4184998272 is 2728994814.

4184998272 is a `hidden beast` number, since 4 + 1 + 8 + 499 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4184998271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2200522 + ... + 2202422.

Almost surely, 2^4184998272 is an apocalyptic number.

4184998272 is a gapful number since it is divisible by the number (42) 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 4184998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740759600).

4184998272 is an abundant number, since it is smaller than the sum of its proper divisors (11296520928).

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

4184998272 is a wasteful number, since it uses less digits than its factorization.

4184998272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1926 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 4184998272 is about 64691.5626028619. The cubic root of 4184998272 is about 1611.5053846848.

The spelling of 4184998272 in words is "four billion, one hundred eighty-four million, nine hundred ninety-eight thousand, two hundred seventy-two".