4142411040 has 192 divisors, whose sum is σ = 13548124800. Its totient is φ = 1062641664.

The previous prime is 4142411003. The next prime is 4142411041. The reversal of 4142411040 is 401142414.

It is a junction number, because it is equal to n+sod(n) for n = 4142410998 and 4142411016.

It is not an unprimeable number, because it can be changed into a prime (4142411041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7279876 + ... + 7280444.

It is an arithmetic number, because the mean of its divisors is an integer number (70563150).

Almost surely, 2^4142411040 is an apocalyptic number.

4142411040 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 4142411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774062400).

4142411040 is an abundant number, since it is smaller than the sum of its proper divisors (9405713760).

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

4142411040 is a wasteful number, since it uses less digits than its factorization.

4142411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4142411040 is about 64361.5649281464. The cubic root of 4142411040 is about 1606.0204223254.

Adding to 4142411040 its reverse (401142414), we get a palindrome (4543553454).

The spelling of 4142411040 in words is "four billion, one hundred forty-two million, four hundred eleven thousand, forty".