401940000 has 720 divisors, whose sum is σ = 1842160320. Its totient is φ = 80640000.

The previous prime is 401939999. The next prime is 401940013. The reversal of 401940000 is 49104.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 13859986 + ... + 13860014.

It is an arithmetic number, because the mean of its divisors is an integer number (2558556).

Almost surely, 2^401940000 is an apocalyptic number.

401940000 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 401940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921080160).

401940000 is an abundant number, since it is smaller than the sum of its proper divisors (1440220320).

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

401940000 is a wasteful number, since it uses less digits than its factorization.

401940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 401940000 is about 20048.4413359243. The cubic root of 401940000 is about 737.9955493595.

Adding to 401940000 its reverse (49104), we get a palindrome (401989104).

The spelling of 401940000 in words is "four hundred one million, nine hundred forty thousand".