4199347152 has 720 divisors, whose sum is σ = 16651934208. Its totient is φ = 994705920.

The previous prime is 4199347121. The next prime is 4199347169. The reversal of 4199347152 is 2517439914.

4199347152 is a `hidden beast` number, since 41 + 9 + 93 + 471 + 52 = 666.

It is a super-2 number, since 2×4199347152² = 35269033006021022208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4199347098 and 4199347107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50594503 + ... + 50594585.

Almost surely, 2^4199347152 is an apocalyptic number.

4199347152 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 4199347152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8325967104).

4199347152 is an abundant number, since it is smaller than the sum of its proper divisors (12452587056).

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

4199347152 is a wasteful number, since it uses less digits than its factorization.

4199347152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 4199347152 is about 64802.3699566613. The cubic root of 4199347152 is about 1613.3450445765.

The spelling of 4199347152 in words is "four billion, one hundred ninety-nine million, three hundred forty-seven thousand, one hundred fifty-two".