4120631424 has 384 divisors, whose sum is σ = 15237331200. Its totient is φ = 1038901248.

The previous prime is 4120631419. The next prime is 4120631453. The reversal of 4120631424 is 4241360214.

It is a happy number.

4120631424 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 631 + 4 + 24 = 666.

4120631424 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 tau number, because it is divible by the number of its divisors (384).

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, 2410282 + ... + 2411990.

It is an arithmetic number, because the mean of its divisors is an integer number (39680550).

Almost surely, 2^4120631424 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 4120631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

4120631424 is an abundant number, since it is smaller than the sum of its proper divisors (11116699776).

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

4120631424 is a wasteful number, since it uses less digits than its factorization.

4120631424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4120631424 is about 64192.1445661383. The cubic root of 4120631424 is about 1603.2008091597.

Adding to 4120631424 its reverse (4241360214), we get a palindrome (8361991638).

The spelling of 4120631424 in words is "four billion, one hundred twenty million, six hundred thirty-one thousand, four hundred twenty-four".