31411004332224 has 448 divisors, whose sum is σ = 93805536706560. Its totient is φ = 9195440640000.

The previous prime is 31411004332159. The next prime is 31411004332241. The reversal of 31411004332224 is 42223340011413.

It is a junction number, because it is equal to n+sod(n) for n = 31411004332191 and 31411004332200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1975402674 + ... + 1975418574.

It is an arithmetic number, because the mean of its divisors is an integer number (209387358720).

Almost surely, 2^{31411004332224} 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 31411004332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46902768353280).

31411004332224 is an abundant number, since it is smaller than the sum of its proper divisors (62394532374336).

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

31411004332224 is a wasteful number, since it uses less digits than its factorization.

31411004332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 31411004332224 its reverse (42223340011413), we get a palindrome (73634344343637).

The spelling of 31411004332224 in words is "thirty-one trillion, four hundred eleven billion, four million, three hundred thirty-two thousand, two hundred twenty-four".