401331140 has 72 divisors (see below), whose sum is σ = 1007079360. Its totient is φ = 131592384.

The previous prime is 401331137. The next prime is 401331143. The reversal of 401331140 is 41133104.

It is an interprime number because it is at equal distance from previous prime (401331137) and next prime (401331143).

It is a super-2 number, since 2×401331140² = 322133367867399200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401331143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71351 + ... + 76769.

Almost surely, 2^401331140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503539680).

401331140 is an abundant number, since it is smaller than the sum of its proper divisors (605748220).

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

401331140 is a wasteful number, since it uses less digits than its factorization.

401331140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 401331140 is about 20033.2508595085. The cubic root of 401331140 is about 737.6227217016.

Adding to 401331140 its reverse (41133104), we get a palindrome (442464244).

It can be divided in two parts, 4013 and 31140, that added together give a palindrome (35153).

The spelling of 401331140 in words is "four hundred one million, three hundred thirty-one thousand, one hundred forty".