401442120 has 48 divisors (see below), whose sum is σ = 1304688060. Its totient is φ = 107051136.

The previous prime is 401442113. The next prime is 401442133. The reversal of 401442120 is 21244104.

It can be written as a sum of positive squares in 2 ways, for example, as 380484036 + 20958084 = 19506^2 + 4578^2 .

It is a super-2 number, since 2×401442120² = 322311551420188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401442093 and 401442102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557199 + ... + 557918.

Almost surely, 2^401442120 is an apocalyptic number.

401442120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401442120 is an abundant number, since it is smaller than the sum of its proper divisors (903245940).

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

401442120 is a wasteful number, since it uses less digits than its factorization.

401442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115134 (or 1115127 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 401442120 is about 20036.0205629761. The cubic root of 401442120 is about 737.6907069777.

Adding to 401442120 its reverse (21244104), we get a palindrome (422686224).

The spelling of 401442120 in words is "four hundred one million, four hundred forty-two thousand, one hundred twenty".