10341696960 has 1008 divisors, whose sum is σ = 45290232000. Its totient is φ = 2162184192.

The previous prime is 10341696947. The next prime is 10341696961. The reversal of 10341696960 is 6969614301.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10341696961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 356610226 + ... + 356610254.

Almost surely, 2^10341696960 is an apocalyptic number.

10341696960 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 10341696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22645116000).

10341696960 is an abundant number, since it is smaller than the sum of its proper divisors (34948535040).

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

10341696960 is a wasteful number, since it uses less digits than its factorization.

10341696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

It can be divided in two parts, 10341696 and 960, that added together give a square (10342656 = 3216²).

The spelling of 10341696960 in words is "ten billion, three hundred forty-one million, six hundred ninety-six thousand, nine hundred sixty".