21401028000 has 864 divisors, whose sum is σ = 88701434640. Its totient is φ = 4882944000.

The previous prime is 21401027969. The next prime is 21401028001. The reversal of 21401028000 is 82010412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 1115292816 + 20285735184 = 33396^2 + 142428^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21401028001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1258883992 + ... + 1258884008.

Almost surely, 2^21401028000 is an apocalyptic number.

21401028000 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 21401028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44350717320).

21401028000 is an abundant number, since it is smaller than the sum of its proper divisors (67300406640).

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

21401028000 is a wasteful number, since it uses less digits than its factorization.

21401028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21401028000 its reverse (82010412), we get a palindrome (21483038412).

The spelling of 21401028000 in words is "twenty-one billion, four hundred one million, twenty-eight thousand".