4140050040 has 192 divisors, whose sum is σ = 15473203200. Its totient is φ = 940398336.

The previous prime is 4140050039. The next prime is 4140050059. The reversal of 4140050040 is 400500414.

4140050040 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 Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4140049995 and 4140050022.

It is a congruent number.

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, 405721 + ... + 415799.

It is an arithmetic number, because the mean of its divisors is an integer number (80589600).

Almost surely, 2^4140050040 is an apocalyptic number.

4140050040 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 4140050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736601600).

4140050040 is an abundant number, since it is smaller than the sum of its proper divisors (11333153160).

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

4140050040 is a wasteful number, since it uses less digits than its factorization.

4140050040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4140050040 is about 64343.2206219117. The cubic root of 4140050040 is about 1605.7152429826.

Adding to 4140050040 its reverse (400500414), we get a palindrome (4540550454).

The spelling of 4140050040 in words is "four billion, one hundred forty million, fifty thousand, forty".