401041200 has 120 divisors (see below), whose sum is σ = 1468223488. Its totient is φ = 91664640.

The previous prime is 401041183. The next prime is 401041211. The reversal of 401041200 is 2140104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 15472 + ... + 32271.

Almost surely, 2^401041200 is an apocalyptic number.

401041200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401041200 is an abundant number, since it is smaller than the sum of its proper divisors (1067182288).

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

401041200 is a wasteful number, since it uses less digits than its factorization.

401041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47771 (or 47760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 401041200 is about 20026.0130829878. The cubic root of 401041200 is about 737.4450480936.

Adding to 401041200 its reverse (2140104), we get a palindrome (403181304).

The spelling of 401041200 in words is "four hundred one million, forty-one thousand, two hundred".