4407081626640 has 1280 divisors, whose sum is σ = 18887933952000. Its totient is φ = 839472076800.

The previous prime is 4407081626581. The next prime is 4407081626653. The reversal of 4407081626640 is 466261807044.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4407081626640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 533347149 + ... + 533355411.

It is an arithmetic number, because the mean of its divisors is an integer number (14756198400).

Almost surely, 2^{4407081626640} is an apocalyptic number.

4407081626640 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 4407081626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443966976000).

4407081626640 is an abundant number, since it is smaller than the sum of its proper divisors (14480852325360).

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

4407081626640 is a wasteful number, since it uses less digits than its factorization.

4407081626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 4407081626640 in words is "four trillion, four hundred seven billion, eighty-one million, six hundred twenty-six thousand, six hundred forty".