401001100 has 72 divisors (see below), whose sum is σ = 928534320. Its totient is φ = 149790720.

The previous prime is 401001037. The next prime is 401001109. The reversal of 401001100 is 1100104.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (401001109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235452 + ... + 237148.

It is an arithmetic number, because the mean of its divisors is an integer number (12896310).

Almost surely, 2^401001100 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 401001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464267160).

401001100 is an abundant number, since it is smaller than the sum of its proper divisors (527533220).

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

401001100 is a wasteful number, since it uses less digits than its factorization.

401001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 401001100 is about 20025.0118601713. The cubic root of 401001100 is about 737.4204682981.

Adding to 401001100 its reverse (1100104), we get a palindrome (402101204).

The spelling of 401001100 in words is "four hundred one million, one thousand, one hundred".