4199713440 has 192 divisors, whose sum is σ = 14313801600. Its totient is φ = 1028911104.

The previous prime is 4199713423. The next prime is 4199713447. The reversal of 4199713440 is 443179914.

It is a junction number, because it is equal to n+sod(n) for n = 4199713392 and 4199713401.

It is not an unprimeable number, because it can be changed into a prime (4199713447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427491 + ... + 1430429.

It is an arithmetic number, because the mean of its divisors is an integer number (74551050).

Almost surely, 2^4199713440 is an apocalyptic number.

4199713440 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 4199713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156900800).

4199713440 is an abundant number, since it is smaller than the sum of its proper divisors (10114088160).

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

4199713440 is a wasteful number, since it uses less digits than its factorization.

4199713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 4199713440 is about 64805.1960879681. The cubic root of 4199713440 is about 1613.3919512128.

The spelling of 4199713440 in words is "four billion, one hundred ninety-nine million, seven hundred thirteen thousand, four hundred forty".