4199149680 has 160 divisors (see below), whose sum is σ = 14259587328. Its totient is φ = 1013760000.

The previous prime is 4199149657. The next prime is 4199149751. The reversal of 4199149680 is 869419914.

4199149680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659472 + ... + 665808.

Almost surely, 2^4199149680 is an apocalyptic number.

4199149680 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 4199149680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129793664).

4199149680 is an abundant number, since it is smaller than the sum of its proper divisors (10060437648).

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

4199149680 is a wasteful number, since it uses less digits than its factorization.

4199149680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6615 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 4199149680 is about 64800.8462907700. The cubic root of 4199149680 is about 1613.3197552910.

The spelling of 4199149680 in words is "four billion, one hundred ninety-nine million, one hundred forty-nine thousand, six hundred eighty".