401342400 has 252 divisors, whose sum is σ = 1459272672. Its totient is φ = 104570880.

The previous prime is 401342371. The next prime is 401342413. The reversal of 401342400 is 4243104.

It is a super-2 number, since 2×401342400² = 322151444075520000, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 676504 + ... + 677096.

Almost surely, 2^401342400 is an apocalyptic number.

401342400 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 401342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729636336).

401342400 is an abundant number, since it is smaller than the sum of its proper divisors (1057930272).

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

401342400 is a wasteful number, since it uses less digits than its factorization.

401342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 401342400 is about 20033.5318903083. The cubic root of 401342400 is about 737.6296200401.

Adding to 401342400 its reverse (4243104), we get a palindrome (405585504).

The spelling of 401342400 in words is "four hundred one million, three hundred forty-two thousand, four hundred".