4200159744 has 480 divisors, whose sum is σ = 14280752640. Its totient is φ = 1231718400.

The previous prime is 4200159721. The next prime is 4200159763. The reversal of 4200159744 is 4479510024.

It is a happy number.

4200159744 is a `hidden beast` number, since 4 + 20 + 0 + 1 + 597 + 44 = 666.

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 = 4200159699 and 4200159708.

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, 135489009 + ... + 135489039.

It is an arithmetic number, because the mean of its divisors is an integer number (29751568).

Almost surely, 2^4200159744 is an apocalyptic number.

4200159744 is a gapful number since it is divisible by the number (44) 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 4200159744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140376320).

4200159744 is an abundant number, since it is smaller than the sum of its proper divisors (10080592896).

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

4200159744 is an frugal number, since it uses more digits than its factorization.

4200159744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4200159744 is about 64808.6394240768. The cubic root of 4200159744 is about 1613.4491009673.

Adding to 4200159744 its reverse (4479510024), we get a palindrome (8679669768).

The spelling of 4200159744 in words is "four billion, two hundred million, one hundred fifty-nine thousand, seven hundred forty-four".