401841120 has 96 divisors (see below), whose sum is σ = 1271585952. Its totient is φ = 106668032.

The previous prime is 401841109. The next prime is 401841131. The reversal of 401841120 is 21148104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (401841109) and next prime (401841131).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401841120² = 322952571445708800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110044 + ... + 113636.

It is an arithmetic number, because the mean of its divisors is an integer number (13245687).

Almost surely, 2^401841120 is an apocalyptic number.

401841120 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 401841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635792976).

401841120 is an abundant number, since it is smaller than the sum of its proper divisors (869744832).

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

401841120 is a wasteful number, since it uses less digits than its factorization.

401841120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 401841120 is about 20045.9751571232. The cubic root of 401841120 is about 737.9350270721.

Adding to 401841120 its reverse (21148104), we get a palindrome (422989224).

The spelling of 401841120 in words is "four hundred one million, eight hundred forty-one thousand, one hundred twenty".