4100115240 has 256 divisors, whose sum is σ = 15359500800. Its totient is φ = 965302272.

The previous prime is 4100115223. The next prime is 4100115269. The reversal of 4100115240 is 425110014.

4100115240 is a `hidden beast` number, since 410 + 0 + 1 + 15 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 316572 + ... + 329268.

It is an arithmetic number, because the mean of its divisors is an integer number (59998050).

Almost surely, 2^4100115240 is an apocalyptic number.

4100115240 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 4100115240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679750400).

4100115240 is an abundant number, since it is smaller than the sum of its proper divisors (11259385560).

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

4100115240 is a wasteful number, since it uses less digits than its factorization.

4100115240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12753 (or 12743 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4100115240 is about 64032.1422412213. The cubic root of 4100115240 is about 1600.5356591899.

Adding to 4100115240 its reverse (425110014), we get a palindrome (4525225254).

The spelling of 4100115240 in words is "four billion, one hundred million, one hundred fifteen thousand, two hundred forty".