4198392000 has 1120 divisors, whose sum is σ = 18410895360. Its totient is φ = 933120000.

The previous prime is 4198391999. The next prime is 4198392043. The reversal of 4198392000 is 2938914.

4198392000 is a `hidden beast` number, since 419 + 8 + 39 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 135431985 + ... + 135432015.

Almost surely, 2^4198392000 is an apocalyptic number.

4198392000 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 4198392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9205447680).

4198392000 is an abundant number, since it is smaller than the sum of its proper divisors (14212503360).

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

4198392000 is a wasteful number, since it uses less digits than its factorization.

4198392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4198392000 is about 64794.9998070839. Note that the first 3 decimals coincide. The cubic root of 4198392000 is about 1613.2227155144. Note that the first 3 decimals are identical.

The spelling of 4198392000 in words is "four billion, one hundred ninety-eight million, three hundred ninety-two thousand".