401120000 has 180 divisors, whose sum is σ = 1053600240. Its totient is φ = 152064000.

The previous prime is 401119919. The next prime is 401120003. The reversal of 401120000 is 21104.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 401120000.

It is not an unprimeable number, because it can be changed into a prime (401120003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3679946 + ... + 3680054.

Almost surely, 2^401120000 is an apocalyptic number.

401120000 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 401120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526800120).

401120000 is an abundant number, since it is smaller than the sum of its proper divisors (652480240).

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

401120000 is an equidigital number, since it uses as much as digits as its factorization.

401120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 401120000 is about 20027.9804273921. The cubic root of 401120000 is about 737.4933447642.

Adding to 401120000 its reverse (21104), we get a palindrome (401141104).

The spelling of 401120000 in words is "four hundred one million, one hundred twenty thousand".