10331413362660 has 192 divisors, whose sum is σ = 32239412561664. Its totient is φ = 2455494912000.

The previous prime is 10331413362643. The next prime is 10331413362671. The reversal of 10331413362660 is 6626331413301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2414310 + ... + 5147010.

It is an arithmetic number, because the mean of its divisors is an integer number (167913607092).

Almost surely, 2^{10331413362660} is an apocalyptic number.

10331413362660 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 10331413362660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119706280832).

10331413362660 is an abundant number, since it is smaller than the sum of its proper divisors (21907999199004).

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

10331413362660 is a wasteful number, since it uses less digits than its factorization.

10331413362660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732894 (or 2732892 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

Adding to 10331413362660 its reverse (6626331413301), we get a palindrome (16957744775961).

The spelling of 10331413362660 in words is "ten trillion, three hundred thirty-one billion, four hundred thirteen million, three hundred sixty-two thousand, six hundred sixty".