21235648001040 has 400 divisors, whose sum is σ = 80581782346560. Its totient is φ = 5140212618240.

The previous prime is 21235648001033. The next prime is 21235648001059. The reversal of 21235648001040 is 4010084653212.

It is a happy number.

21235648001040 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 5 + 648 + 0 + 0 + 1 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21235648000986 and 21235648001004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46747482 + ... + 47199558.

Almost surely, 2^{21235648001040} is an apocalyptic number.

21235648001040 is a gapful number since it is divisible by the number (20) 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 21235648001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40290891173280).

21235648001040 is an abundant number, since it is smaller than the sum of its proper divisors (59346134345520).

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

21235648001040 is a wasteful number, since it uses less digits than its factorization.

21235648001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452772 (or 452757 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21235648001040 in words is "twenty-one trillion, two hundred thirty-five billion, six hundred forty-eight million, one thousand, forty".