4199924160 has 168 divisors, whose sum is σ = 15206502480. Its totient is φ = 1061019648.

The previous prime is 4199924143. The next prime is 4199924173. The reversal of 4199924160 is 614299914.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16344 + ... + 93096.

Almost surely, 2^4199924160 is an apocalyptic number.

4199924160 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 4199924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603251240).

4199924160 is an abundant number, since it is smaller than the sum of its proper divisors (11006578320).

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

4199924160 is a wasteful number, since it uses less digits than its factorization.

4199924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76795 (or 76782 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 4199924160 is about 64806.8218631341. The cubic root of 4199924160 is about 1613.4189346622.

The spelling of 4199924160 in words is "four billion, one hundred ninety-nine million, nine hundred twenty-four thousand, one hundred sixty".