10004430220440 has 128 divisors (see below), whose sum is σ = 31779929525760. Its totient is φ = 2510824863744.

The previous prime is 10004430220399. The next prime is 10004430220451. The reversal of 10004430220440 is 4402203440001.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10004430220440.

It is a congruent number.

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, 69661587 + ... + 69805053.

It is an arithmetic number, because the mean of its divisors is an integer number (248280699420).

Almost surely, 2^{10004430220440} is an apocalyptic number.

10004430220440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004430220440 is an abundant number, since it is smaller than the sum of its proper divisors (21775499305320).

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

10004430220440 is a wasteful number, since it uses less digits than its factorization.

10004430220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177681 (or 177677 counting only the distinct ones).

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

Adding to 10004430220440 its reverse (4402203440001), we get a palindrome (14406633660441).

The spelling of 10004430220440 in words is "ten trillion, four billion, four hundred thirty million, two hundred twenty thousand, four hundred forty".