4120268040 has 256 divisors, whose sum is σ = 15748300800. Its totient is φ = 938656512.

The previous prime is 4120268039. The next prime is 4120268069. The reversal of 4120268040 is 408620214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4120267995 and 4120268013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2894769 + ... + 2896191.

It is an arithmetic number, because the mean of its divisors is an integer number (61516800).

Almost surely, 2^4120268040 is an apocalyptic number.

4120268040 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 4120268040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874150400).

4120268040 is an abundant number, since it is smaller than the sum of its proper divisors (11628032760).

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

4120268040 is a wasteful number, since it uses less digits than its factorization.

4120268040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4120268040 is about 64189.3140639468. The cubic root of 4120268040 is about 1603.1536808931.

Adding to 4120268040 its reverse (408620214), we get a palindrome (4528888254).

The spelling of 4120268040 in words is "four billion, one hundred twenty million, two hundred sixty-eight thousand, forty".