401241600 has 420 divisors, whose sum is σ = 1525141596. Its totient is φ = 104509440.

The previous prime is 401241569. The next prime is 401241629. The reversal of 401241600 is 6142104.

401241600 is a `hidden beast` number, since 40 + 1 + 24 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9331179 + ... + 9331221.

Almost surely, 2^401241600 is an apocalyptic number.

401241600 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 401241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762570798).

401241600 is an abundant number, since it is smaller than the sum of its proper divisors (1123899996).

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

401241600 is an frugal number, since it uses more digits than its factorization.

401241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401241600 is about 20031.0159502707. The cubic root of 401241600 is about 737.5678612266.

Adding to 401241600 its reverse (6142104), we get a palindrome (407383704).

The spelling of 401241600 in words is "four hundred one million, two hundred forty-one thousand, six hundred".