401121000 has 192 divisors, whose sum is σ = 1549716480. Its totient is φ = 91670400.

The previous prime is 401120987. The next prime is 401121023. The reversal of 401121000 is 121104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59817 + ... + 66183.

It is an arithmetic number, because the mean of its divisors is an integer number (8071440).

Almost surely, 2^401121000 is an apocalyptic number.

401121000 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 401121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774858240).

401121000 is an abundant number, since it is smaller than the sum of its proper divisors (1148595480).

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

401121000 is a wasteful number, since it uses less digits than its factorization.

401121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 401121000 is about 20028.0053924498. The cubic root of 401121000 is about 737.4939576255.

Adding to 401121000 its reverse (121104), we get a palindrome (401242104).

The spelling of 401121000 in words is "four hundred one million, one hundred twenty-one thousand".