4120254144 has 168 divisors, whose sum is σ = 12400727040. Its totient is φ = 1306252800.

The previous prime is 4120254137. The next prime is 4120254161. The reversal of 4120254144 is 4414520214.

4120254144 is a `hidden beast` number, since 41 + 202 + 5 + 414 + 4 = 666.

It is a super-2 number, since 2×4120254144² = 33952988422298345472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051549 + ... + 1055459.

Almost surely, 2^4120254144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200363520).

4120254144 is an abundant number, since it is smaller than the sum of its proper divisors (8280472896).

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

4120254144 is a wasteful number, since it uses less digits than its factorization.

4120254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4120254144 is about 64189.2058215398. The cubic root of 4120254144 is about 1603.1518786278.

Adding to 4120254144 its reverse (4414520214), we get a palindrome (8534774358).

The spelling of 4120254144 in words is "four billion, one hundred twenty million, two hundred fifty-four thousand, one hundred forty-four".