401114000 has 120 divisors (see below), whose sum is σ = 1128519288. Its totient is φ = 137491200.

The previous prime is 401113987. The next prime is 401114113. The reversal of 401114000 is 411104.

It can be written as a sum of positive squares in 4 ways, for example, as 25684624 + 375429376 = 5068^2 + 19376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95954 + ... + 100046.

Almost surely, 2^401114000 is an apocalyptic number.

401114000 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 401114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564259644).

401114000 is an abundant number, since it is smaller than the sum of its proper divisors (727405288).

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

401114000 is a wasteful number, since it uses less digits than its factorization.

401114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 401114000 is about 20027.8306363920. The cubic root of 401114000 is about 737.4896675752.

Adding to 401114000 its reverse (411104), we get a palindrome (401525104).

The spelling of 401114000 in words is "four hundred one million, one hundred fourteen thousand".