10421963628000 has 384 divisors, whose sum is σ = 36523483790976. Its totient is φ = 2588737536000.

The previous prime is 10421963627981. The next prime is 10421963628079. The reversal of 10421963628000 is 82636912401.

10421963628000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19524660 + ... + 20051340.

It is an arithmetic number, because the mean of its divisors is an integer number (95113239039).

Almost surely, 2^{10421963628000} is an apocalyptic number.

10421963628000 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 10421963628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18261741895488).

10421963628000 is an abundant number, since it is smaller than the sum of its proper divisors (26101520162976).

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

10421963628000 is a wasteful number, since it uses less digits than its factorization.

10421963628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526823 (or 526805 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10421963628000 in words is "ten trillion, four hundred twenty-one billion, nine hundred sixty-three million, six hundred twenty-eight thousand".