31223120543040 has 224 divisors, whose sum is σ = 101604078890496. Its totient is φ = 8118866165760.

The previous prime is 31223120543023. The next prime is 31223120543129. The reversal of 31223120543040 is 4034502132213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31223120542989 and 31223120543007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75877689 + ... + 76288071.

It is an arithmetic number, because the mean of its divisors is an integer number (453589637904).

Almost surely, 2^{31223120543040} is an apocalyptic number.

31223120543040 is a gapful number since it is divisible by the number (30) 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 31223120543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50802039445248).

31223120543040 is an abundant number, since it is smaller than the sum of its proper divisors (70380958347456).

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

31223120543040 is a wasteful number, since it uses less digits than its factorization.

31223120543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412377 (or 412367 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 31223120543040 its reverse (4034502132213), we get a palindrome (35257622675253).

The spelling of 31223120543040 in words is "thirty-one trillion, two hundred twenty-three billion, one hundred twenty million, five hundred forty-three thousand, forty".