401041680 has 160 divisors (see below), whose sum is σ = 1348413696. Its totient is φ = 98015232.

The previous prime is 401041657. The next prime is 401041681. The reversal of 401041680 is 86140104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 401041680.

It is not an unprimeable number, because it can be changed into a prime (401041681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539389 + ... + 540131.

Almost surely, 2^401041680 is an apocalyptic number.

401041680 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 401041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674206848).

401041680 is an abundant number, since it is smaller than the sum of its proper divisors (947372016).

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

401041680 is a wasteful number, since it uses less digits than its factorization.

401041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 401041680 is about 20026.0250673967. The cubic root of 401041680 is about 737.4453423057.

Adding to 401041680 its reverse (86140104), we get a palindrome (487181784).

The spelling of 401041680 in words is "four hundred one million, forty-one thousand, six hundred eighty".