401240000 has 140 divisors (see below), whose sum is σ = 1137873264. Its totient is φ = 137472000.

The previous prime is 401239939. The next prime is 401240029. The reversal of 401240000 is 42104.

It is a tau number, because it is divible by the number of its divisors (140).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279284 + ... + 280716.

Almost surely, 2^401240000 is an apocalyptic number.

401240000 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 401240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568936632).

401240000 is an abundant number, since it is smaller than the sum of its proper divisors (736633264).

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

401240000 is an equidigital number, since it uses as much as digits as its factorization.

401240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 401240000 is about 20030.9760121668. The cubic root of 401240000 is about 737.5668808446.

Adding to 401240000 its reverse (42104), we get a palindrome (401282104).

The spelling of 401240000 in words is "four hundred one million, two hundred forty thousand".