4140213412032 has 336 divisors, whose sum is σ = 12489077782272. Its totient is φ = 1308823971840.

The previous prime is 4140213412003. The next prime is 4140213412033. The reversal of 4140213412032 is 2302143120414.

4140213412032 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 213 + 412 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4140213411987 and 4140213412005.

It is not an unprimeable number, because it can be changed into a prime (4140213412033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774303183 + ... + 774308529.

It is an arithmetic number, because the mean of its divisors is an integer number (37169874352).

Almost surely, 2^{4140213412032} 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 4140213412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244538891136).

4140213412032 is an abundant number, since it is smaller than the sum of its proper divisors (8348864370240).

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

4140213412032 is a wasteful number, since it uses less digits than its factorization.

4140213412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5863 counting only the distinct ones).

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

Adding to 4140213412032 its reverse (2302143120414), we get a palindrome (6442356532446).

The spelling of 4140213412032 in words is "four trillion, one hundred forty billion, two hundred thirteen million, four hundred twelve thousand, thirty-two".