401011132000430 has 192 divisors, whose sum is σ = 863985558067200. Its totient is φ = 133553360908800.

The previous prime is 401011132000421. The next prime is 401011132000439. The reversal of 401011132000430 is 34000231110104.

It is an interprime number because it is at equal distance from previous prime (401011132000421) and next prime (401011132000439).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401011132000439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3926080301 + ... + 3926182439.

It is an arithmetic number, because the mean of its divisors is an integer number (4499924781600).

Almost surely, 2^{401011132000430} is an apocalyptic number.

401011132000430 is an abundant number, since it is smaller than the sum of its proper divisors (462974426066770).

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

401011132000430 is a wasteful number, since it uses less digits than its factorization.

401011132000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103487 (or 103480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 401011132000430 its reverse (34000231110104), we get a palindrome (435011363110534).

The spelling of 401011132000430 in words is "four hundred one trillion, eleven billion, one hundred thirty-two million, four hundred thirty", and thus it is an aban number.