10444021402304 has 56 divisors (see below), whose sum is σ = 23694288123648. Its totient is φ = 4474357597440.

The previous prime is 10444021402291. The next prime is 10444021402333. The reversal of 10444021402304 is 40320412044401.

10444021402304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×10444021402304³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3085094 + ... + 5514149.

Almost surely, 2^{10444021402304} is an apocalyptic number.

10444021402304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10444021402304 is an abundant number, since it is smaller than the sum of its proper divisors (13250266721344).

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

10444021402304 is an equidigital number, since it uses as much as digits as its factorization.

10444021402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8601973 (or 8601963 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 10444021402304 its reverse (40320412044401), we get a palindrome (50764433446705).

The spelling of 10444021402304 in words is "ten trillion, four hundred forty-four billion, twenty-one million, four hundred two thousand, three hundred four".