401331140028 has 288 divisors, whose sum is σ = 1280464174080. Its totient is φ = 103176944640.

The previous prime is 401331140011. The next prime is 401331140051. The reversal of 401331140028 is 820041133104.

It is a super-2 number, since 2×401331140028² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401331139983 and 401331140010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20691351 + ... + 20710737.

It is an arithmetic number, because the mean of its divisors is an integer number (4446056160).

Almost surely, 2^401331140028 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 401331140028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640232087040).

401331140028 is an abundant number, since it is smaller than the sum of its proper divisors (879133034052).

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

401331140028 is a wasteful number, since it uses less digits than its factorization.

401331140028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19577 (or 19572 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 401331140028 in words is "four hundred one billion, three hundred thirty-one million, one hundred forty thousand, twenty-eight".