10021004444400 has 120 divisors (see below), whose sum is σ = 32102608758384. Its totient is φ = 2672102092800.

The previous prime is 10021004444389. The next prime is 10021004444401. The reversal of 10021004444400 is 444440012001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021004444401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19737730 + ... + 20239070.

Almost surely, 2^{10021004444400} is an apocalyptic number.

10021004444400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021004444400 is an abundant number, since it is smaller than the sum of its proper divisors (22081604313984).

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

10021004444400 is a wasteful number, since it uses less digits than its factorization.

10021004444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518019 (or 518008 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10021004444400 its reverse (444440012001), we get a palindrome (10465444456401).

The spelling of 10021004444400 in words is "ten trillion, twenty-one billion, four million, four hundred forty-four thousand, four hundred".