401436288100 has 81 divisors (see below), whose sum is σ = 925621507083. Its totient is φ = 151088405760.

The previous prime is 401436288037. The next prime is 401436288101. The reversal of 401436288100 is 1882634104.

The square root of 401436288100 is 633590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9389997604 + 392046290496 = 96902^2 + 626136^2 .

It is a super-2 number, since 2×401436288100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401436288100.

It is not an unprimeable number, because it can be changed into a prime (401436288101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107708437 + ... + 107712163.

Almost surely, 2^401436288100 is an apocalyptic number.

401436288100 is the 633590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401436288100

401436288100 is an abundant number, since it is smaller than the sum of its proper divisors (524185218983).

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

401436288100 is an equidigital number, since it uses as much as digits as its factorization.

401436288100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 401436288100 in words is "four hundred one billion, four hundred thirty-six million, two hundred eighty-eight thousand, one hundred".