401431411020 has 96 divisors (see below), whose sum is σ = 1135217341440. Its totient is φ = 105981361920.

The previous prime is 401431411001. The next prime is 401431411027. The reversal of 401431411020 is 20114134104.

It is a super-2 number, since 2×401431411020² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401431411027) 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, 35968201 + ... + 35979359.

It is an arithmetic number, because the mean of its divisors is an integer number (11825180640).

Almost surely, 2^401431411020 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 401431411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567608670720).

401431411020 is an abundant number, since it is smaller than the sum of its proper divisors (733785930420).

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

401431411020 is a wasteful number, since it uses less digits than its factorization.

401431411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17095 (or 17093 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 401431411020 its reverse (20114134104), we get a palindrome (421545545124).

The spelling of 401431411020 in words is "four hundred one billion, four hundred thirty-one million, four hundred eleven thousand, twenty".