10421398901760 has 2112 divisors, whose sum is σ = 45050265953280. Its totient is φ = 2027390238720.

The previous prime is 10421398901759. The next prime is 10421398901773. The reversal of 10421398901760 is 6710989312401.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

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, 15258270379 + ... + 15258271061.

Almost surely, 2^{10421398901760} is an apocalyptic number.

10421398901760 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 10421398901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22525132976640).

10421398901760 is an abundant number, since it is smaller than the sum of its proper divisors (34628867051520).

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

10421398901760 is a wasteful number, since it uses less digits than its factorization.

10421398901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 10421398901760 in words is "ten trillion, four hundred twenty-one billion, three hundred ninety-eight million, nine hundred one thousand, seven hundred sixty".