4199250240 has 336 divisors, whose sum is σ = 15405811200. Its totient is φ = 1046200320.

The previous prime is 4199250239. The next prime is 4199250313. The reversal of 4199250240 is 420529914.

4199250240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4199250195 and 4199250204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9742825 + ... + 9743255.

Almost surely, 2^4199250240 is an apocalyptic number.

4199250240 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 4199250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702905600).

4199250240 is an abundant number, since it is smaller than the sum of its proper divisors (11206560960).

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

4199250240 is a wasteful number, since it uses less digits than its factorization.

4199250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4199250240 is about 64801.6222019171. The cubic root of 4199250240 is about 1613.3326336237.

The spelling of 4199250240 in words is "four billion, one hundred ninety-nine million, two hundred fifty thousand, two hundred forty".