401110400 has 96 divisors (see below), whose sum is σ = 998243400. Its totient is φ = 159252480.

The previous prime is 401110343. The next prime is 401110429. The reversal of 401110400 is 4011104.

It is a congruent number.

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, 521216 + ... + 521984.

Almost surely, 2^401110400 is an apocalyptic number.

401110400 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 401110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499121700).

401110400 is an abundant number, since it is smaller than the sum of its proper divisors (597133000).

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

401110400 is a wasteful number, since it uses less digits than its factorization.

401110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 401110400 is about 20027.7407612541. The cubic root of 401110400 is about 737.4874612443.

Adding to 401110400 its reverse (4011104), we get a palindrome (405121504).

401110400 divided by its reverse (4011104) gives a square (100 = 10²).

The spelling of 401110400 in words is "four hundred one million, one hundred ten thousand, four hundred".