10004402414440 has 64 divisors (see below), whose sum is σ = 25733067552000. Its totient is φ = 3429085982208.

The previous prime is 10004402414387. The next prime is 10004402414459. The reversal of 10004402414440 is 4441420440001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10004402414399 and 10004402414408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4214044 + ... + 6145483.

It is an arithmetic number, because the mean of its divisors is an integer number (402079180500).

Almost surely, 2^{10004402414440} is an apocalyptic number.

10004402414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004402414440 is an abundant number, since it is smaller than the sum of its proper divisors (15728665137560).

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

10004402414440 is a wasteful number, since it uses less digits than its factorization.

10004402414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362994 (or 10362990 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10004402414440 its reverse (4441420440001), we get a palindrome (14445822854441).

The spelling of 10004402414440 in words is "ten trillion, four billion, four hundred two million, four hundred fourteen thousand, four hundred forty".