401124400 has 60 divisors (see below), whose sum is σ = 989783872. Its totient is φ = 156107520.

The previous prime is 401124389. The next prime is 401124413. The reversal of 401124400 is 4421104.

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

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, 1249 + ... + 28351.

Almost surely, 2^401124400 is an apocalyptic number.

401124400 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 401124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494891936).

401124400 is an abundant number, since it is smaller than the sum of its proper divisors (588659472).

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

401124400 is a wasteful number, since it uses less digits than its factorization.

401124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27158 (or 27147 counting only the distinct ones).

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

The square root of 401124400 is about 20028.0902734135. The cubic root of 401124400 is about 737.4960413462.

Adding to 401124400 its reverse (4421104), we get a palindrome (405545504).

The spelling of 401124400 in words is "four hundred one million, one hundred twenty-four thousand, four hundred".