401142100 has 36 divisors (see below), whose sum is σ = 884761948. Its totient is φ = 157824000.

The previous prime is 401142097. The next prime is 401142101. The reversal of 401142100 is 1241104.

It can be written as a sum of positive squares in 6 ways, for example, as 4813636 + 396328464 = 2194^2 + 19908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401142101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26781 + ... + 38980.

Almost surely, 2^401142100 is an apocalyptic number.

It is an amenable number.

401142100 is an abundant number, since it is smaller than the sum of its proper divisors (483619848).

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

401142100 is a wasteful number, since it uses less digits than its factorization.

401142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65836 (or 65829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 401142100 is about 20028.5321479134. The cubic root of 401142100 is about 737.5068887607.

Adding to 401142100 its reverse (1241104), we get a palindrome (402383204).

The spelling of 401142100 in words is "four hundred one million, one hundred forty-two thousand, one hundred".