10612403340 has 576 divisors, whose sum is σ = 40540953600. Its totient is φ = 2043740160.

The previous prime is 10612403339. The next prime is 10612403371. The reversal of 10612403340 is 4330421601.

It is a super-3 number, since 3×10612403340³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10612403340.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53328561 + ... + 53328759.

It is an arithmetic number, because the mean of its divisors is an integer number (70383600).

Almost surely, 2^10612403340 is an apocalyptic number.

10612403340 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 10612403340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270476800).

10612403340 is an abundant number, since it is smaller than the sum of its proper divisors (29928550260).

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

10612403340 is a wasteful number, since it uses less digits than its factorization.

10612403340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10612403340 its reverse (4330421601), we get a palindrome (14942824941).

The spelling of 10612403340 in words is "ten billion, six hundred twelve million, four hundred three thousand, three hundred forty".