4031624426640 has 160 divisors (see below), whose sum is σ = 12780576990720. Its totient is φ = 1050854817792.

The previous prime is 4031624426611. The next prime is 4031624426707. The reversal of 4031624426640 is 466244261304.

It is a happy number.

4031624426640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4031624426592 and 4031624426601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8441932 + ... + 8906708.

It is an arithmetic number, because the mean of its divisors is an integer number (79878606192).

Almost surely, 2^{4031624426640} is an apocalyptic number.

4031624426640 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 4031624426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390288495360).

4031624426640 is an abundant number, since it is smaller than the sum of its proper divisors (8748952564080).

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

4031624426640 is a wasteful number, since it uses less digits than its factorization.

4031624426640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465609 (or 465603 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

Adding to 4031624426640 its reverse (466244261304), we get a palindrome (4497868687944).

The spelling of 4031624426640 in words is "four trillion, thirty-one billion, six hundred twenty-four million, four hundred twenty-six thousand, six hundred forty".