4198293792 has 432 divisors, whose sum is σ = 15458579136. Its totient is φ = 1049932800.

The previous prime is 4198293787. The next prime is 4198293809. The reversal of 4198293792 is 2973928914.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21311038 + ... + 21311234.

It is an arithmetic number, because the mean of its divisors is an integer number (35783748).

Almost surely, 2^4198293792 is an apocalyptic number.

4198293792 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 4198293792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729289568).

4198293792 is an abundant number, since it is smaller than the sum of its proper divisors (11260285344).

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

4198293792 is a wasteful number, since it uses less digits than its factorization.

4198293792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 251 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 4198293792 is about 64794.2419663970. The cubic root of 4198293792 is about 1613.2101366817.

The spelling of 4198293792 in words is "four billion, one hundred ninety-eight million, two hundred ninety-three thousand, seven hundred ninety-two".