401200144 has 20 divisors (see below), whose sum is σ = 778400080. Its totient is φ = 200322720.

The previous prime is 401200133. The next prime is 401200147. The reversal of 401200144 is 441002104.

It is a super-3 number, since 3×401200144³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (401200147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5142 + ... + 28789.

It is an arithmetic number, because the mean of its divisors is an integer number (38920004).

Almost surely, 2^401200144 is an apocalyptic number.

It is an amenable number.

401200144 is a deficient number, since it is larger than the sum of its proper divisors (377199936).

401200144 is a wasteful number, since it uses less digits than its factorization.

401200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34678 (or 34672 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 401200144 is about 20029.9811282986. The cubic root of 401200144 is about 737.5424586874.

Adding to 401200144 its reverse (441002104), we get a palindrome (842202248).

The spelling of 401200144 in words is "four hundred one million, two hundred thousand, one hundred forty-four".