401444120 has 288 divisors, whose sum is σ = 1234729440. Its totient is φ = 114892800.

The previous prime is 401444089. The next prime is 401444123. The reversal of 401444120 is 21444104.

It is a happy number.

It is a super-2 number, since 2×401444120² = 322314762965148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 401444092 and 401444101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401444123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9791300 + ... + 9791340.

It is an arithmetic number, because the mean of its divisors is an integer number (4287255).

Almost surely, 2^401444120 is an apocalyptic number.

401444120 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 401444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617364720).

401444120 is an abundant number, since it is smaller than the sum of its proper divisors (833285320).

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

401444120 is a wasteful number, since it uses less digits than its factorization.

401444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 401444120 is about 20036.0704730244. The cubic root of 401444120 is about 737.6919320435.

Adding to 401444120 its reverse (21444104), we get a palindrome (422888224).

The spelling of 401444120 in words is "four hundred one million, four hundred forty-four thousand, one hundred twenty".