4048199232 has 448 divisors, whose sum is σ = 14088880128. Its totient is φ = 1003622400.

The previous prime is 4048199231. The next prime is 4048199237. The reversal of 4048199232 is 2329918404.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4048199231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55454748 + ... + 55454820.

Almost surely, 2^4048199232 is an apocalyptic number.

4048199232 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 4048199232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044440064).

4048199232 is an abundant number, since it is smaller than the sum of its proper divisors (10040680896).

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

4048199232 is a wasteful number, since it uses less digits than its factorization.

4048199232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4048199232 is about 63625.4605641484. The cubic root of 4048199232 is about 1593.7515716463.

The spelling of 4048199232 in words is "four billion, forty-eight million, one hundred ninety-nine thousand, two hundred thirty-two".