401042004021200 has 120 divisors (see below), whose sum is σ = 987306670125720. Its totient is φ = 156456124211200.

The previous prime is 401042004021187. The next prime is 401042004021229. The reversal of 401042004021200 is 2120400240104.

It can be written as a sum of positive squares in 12 ways, for example, as 29083413553216 + 371958590467984 = 5392904^2 + 19286228^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49660766 + ... + 57168834.

It is an arithmetic number, because the mean of its divisors is an integer number (8227555584381).

Almost surely, 2^{401042004021200} is an apocalyptic number.

401042004021200 is a gapful number since it is divisible by the number (40) 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 401042004021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493653335062860).

401042004021200 is an abundant number, since it is smaller than the sum of its proper divisors (586264666104520).

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

401042004021200 is a wasteful number, since it uses less digits than its factorization.

401042004021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511385 (or 7511374 counting only the distinct ones).

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

Adding to 401042004021200 its reverse (2120400240104), we get a palindrome (403162404261304).

The spelling of 401042004021200 in words is "four hundred one trillion, forty-two billion, four million, twenty-one thousand, two hundred".