21444413401000 has 128 divisors (see below), whose sum is σ = 52044141726720. Its totient is φ = 8261719200000.

The previous prime is 21444413400997. The next prime is 21444413401007. The reversal of 21444413401000 is 10431444412.

It is a super-2 number, since 2×21444413401000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21444413401000.

It is not an unprimeable number, because it can be changed into a prime (21444413401007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4901770 + ... + 8180230.

It is an arithmetic number, because the mean of its divisors is an integer number (406594857240).

Almost surely, 2^{21444413401000} is an apocalyptic number.

21444413401000 is a gapful number since it is divisible by the number (20) 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 21444413401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26022070863360).

21444413401000 is an abundant number, since it is smaller than the sum of its proper divisors (30599728325720).

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

21444413401000 is a wasteful number, since it uses less digits than its factorization.

21444413401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278724 (or 3278710 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 21444413401000 its reverse (10431444412), we get a palindrome (21454844845412).

The spelling of 21444413401000 in words is "twenty-one trillion, four hundred forty-four billion, four hundred thirteen million, four hundred one thousand".