401441400 has 192 divisors, whose sum is σ = 1464415200. Its totient is φ = 100730880.

The previous prime is 401441399. The next prime is 401441401. The reversal of 401441400 is 4144104.

It is an interprime number because it is at equal distance from previous prime (401441399) and next prime (401441401).

It is a super-2 number, since 2×401441400² = 322310395267920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401441401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89614 + ... + 93986.

Almost surely, 2^401441400 is an apocalyptic number.

401441400 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 401441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732207600).

401441400 is an abundant number, since it is smaller than the sum of its proper divisors (1062973800).

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

401441400 is a wasteful number, since it uses less digits than its factorization.

401441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 401441400 is about 20036.0025953282. The cubic root of 401441400 is about 737.6902659531.

Adding to 401441400 its reverse (4144104), we get a palindrome (405585504).

The spelling of 401441400 in words is "four hundred one million, four hundred forty-one thousand, four hundred".