10310112210040 has 256 divisors, whose sum is σ = 24324572160000. Its totient is φ = 3928604067840.

The previous prime is 10310112210029. The next prime is 10310112210109. The reversal of 10310112210040 is 4001221101301.

It is a junction number, because it is equal to n+sod(n) for n = 10310112209996 and 10310112210023.

It is a congruent number.

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, 12288571941 + ... + 12288572779.

It is an arithmetic number, because the mean of its divisors is an integer number (95017860000).

Almost surely, 2^{10310112210040} is an apocalyptic number.

10310112210040 is a gapful number since it is divisible by the number (10) 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 10310112210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162286080000).

10310112210040 is an abundant number, since it is smaller than the sum of its proper divisors (14014459949960).

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

10310112210040 is a wasteful number, since it uses less digits than its factorization.

10310112210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10310112210040 its reverse (4001221101301), we get a palindrome (14311333311341).

The spelling of 10310112210040 in words is "ten trillion, three hundred ten billion, one hundred twelve million, two hundred ten thousand, forty".