20401440401000 has 256 divisors, whose sum is σ = 49028769054720. Its totient is φ = 7943715360000.

The previous prime is 20401440400949. The next prime is 20401440401011. The reversal of 20401440401000 is 10404410402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1902581639 + ... + 1902592361.

It is an arithmetic number, because the mean of its divisors is an integer number (191518629120).

Almost surely, 2^{20401440401000} is an apocalyptic number.

20401440401000 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 20401440401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514384527360).

20401440401000 is an abundant number, since it is smaller than the sum of its proper divisors (28627328653720).

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

20401440401000 is a wasteful number, since it uses less digits than its factorization.

20401440401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11153 (or 11139 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20401440401000 its reverse (10404410402), we get a palindrome (20411844811402).

The spelling of 20401440401000 in words is "twenty trillion, four hundred one billion, four hundred forty million, four hundred one thousand".