4213112444040 has 128 divisors (see below), whose sum is σ = 12660751215360. Its totient is φ = 1121594686464.

The previous prime is 4213112444017. The next prime is 4213112444077. The reversal of 4213112444040 is 404442113124.

It is a happy number.

It is a super-2 number, since 2×4213112444040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4213112443989 and 4213112444007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205738282 + ... + 205758758.

It is an arithmetic number, because the mean of its divisors is an integer number (98912118870).

Almost surely, 2^{4213112444040} is an apocalyptic number.

4213112444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4213112444040 is an abundant number, since it is smaller than the sum of its proper divisors (8447638771320).

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

4213112444040 is a wasteful number, since it uses less digits than its factorization.

4213112444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23311 (or 23307 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4213112444040 its reverse (404442113124), we get a palindrome (4617554557164).

The spelling of 4213112444040 in words is "four trillion, two hundred thirteen billion, one hundred twelve million, four hundred forty-four thousand, forty".