401113472100 has 144 divisors (see below), whose sum is σ = 1266320991936. Its totient is φ = 97219584000.

The previous prime is 401113472069. The next prime is 401113472101. The reversal of 401113472100 is 1274311104.

It is not an unprimeable number, because it can be changed into a prime (401113472101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21694860 + ... + 21713340.

Almost surely, 2^401113472100 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 401113472100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633160495968).

401113472100 is an abundant number, since it is smaller than the sum of its proper divisors (865207519836).

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

401113472100 is a wasteful number, since it uses less digits than its factorization.

401113472100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25086 (or 25079 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 401113472100 its reverse (1274311104), we get a palindrome (402387783204).

The spelling of 401113472100 in words is "four hundred one billion, one hundred thirteen million, four hundred seventy-two thousand, one hundred".