10212310040 has 128 divisors (see below), whose sum is σ = 25696258560. Its totient is φ = 3632707584.

The previous prime is 10212310027. The next prime is 10212310093. The reversal of 10212310040 is 4001321201.

It is a junction number, because it is equal to n+sod(n) for n = 10212309997 and 10212310024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294187 + ... + 1302053.

It is an arithmetic number, because the mean of its divisors is an integer number (200752020).

Almost surely, 2^10212310040 is an apocalyptic number.

10212310040 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 10212310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848129280).

10212310040 is an abundant number, since it is smaller than the sum of its proper divisors (15483948520).

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

10212310040 is a wasteful number, since it uses less digits than its factorization.

10212310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10212310040 its reverse (4001321201), we get a palindrome (14213631241).

The spelling of 10212310040 in words is "ten billion, two hundred twelve million, three hundred ten thousand, forty".