4013220440040 has 192 divisors, whose sum is σ = 14089187952000. Its totient is φ = 911814446592.

The previous prime is 4013220440003. The next prime is 4013220440057. The reversal of 4013220440040 is 400440223104.

It is a happy number.

4013220440040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013220440040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1061515 + ... + 3025434.

It is an arithmetic number, because the mean of its divisors is an integer number (73381187250).

Almost surely, 2^{4013220440040} is an apocalyptic number.

4013220440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013220440040 is an abundant number, since it is smaller than the sum of its proper divisors (10075967511960).

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

4013220440040 is a wasteful number, since it uses less digits than its factorization.

4013220440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087144 (or 4087133 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4013220440040 its reverse (400440223104), we get a palindrome (4413660663144).

The spelling of 4013220440040 in words is "four trillion, thirteen billion, two hundred twenty million, four hundred forty thousand, forty".