401100200020 has 96 divisors (see below), whose sum is σ = 939954949920. Its totient is φ = 142752153600.

The previous prime is 401100199963. The next prime is 401100200029. The reversal of 401100200020 is 20002001104.

It can be written as a sum of positive squares in 16 ways, for example, as 26416651024 + 374683548996 = 162532^2 + 612114^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401100200029) 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, 4487284 + ... + 4575796.

It is an arithmetic number, because the mean of its divisors is an integer number (9791197395).

Almost surely, 2^401100200020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401100200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469977474960).

401100200020 is an abundant number, since it is smaller than the sum of its proper divisors (538854749900).

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

401100200020 is a wasteful number, since it uses less digits than its factorization.

401100200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89165 (or 89163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 401100200020 its reverse (20002001104), we get a palindrome (421102201124).

The spelling of 401100200020 in words is "four hundred one billion, one hundred million, two hundred thousand, twenty".