4184998272000 has 2112 divisors, whose sum is σ = 19387233290880. Its totient is φ = 882524160000.

The previous prime is 4184998271999. The next prime is 4184998272023. The reversal of 4184998272000 is 2728994814.

4184998272000 is a `hidden beast` number, since 4 + 1 + 8 + 499 + 82 + 72 + 0 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 2201471050 + ... + 2201472950.

Almost surely, 2^{4184998272000} is an apocalyptic number.

4184998272000 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 4184998272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9693616645440).

4184998272000 is an abundant number, since it is smaller than the sum of its proper divisors (15202235018880).

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

4184998272000 is a wasteful number, since it uses less digits than its factorization.

4184998272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1931 counting only the distinct ones).

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

The spelling of 4184998272000 in words is "four trillion, one hundred eighty-four billion, nine hundred ninety-eight million, two hundred seventy-two thousand".