21002973113640 has 384 divisors, whose sum is σ = 78130441728000. Its totient is φ = 4490440561152.

The previous prime is 21002973113627. The next prime is 21002973113663. The reversal of 21002973113640 is 4631137920012.

It is a super-2 number, since 2×21002973113640² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 7636029 + ... + 10015731.

It is an arithmetic number, because the mean of its divisors is an integer number (203464692000).

Almost surely, 2^{21002973113640} is an apocalyptic number.

21002973113640 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 21002973113640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39065220864000).

21002973113640 is an abundant number, since it is smaller than the sum of its proper divisors (57127468614360).

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

21002973113640 is a wasteful number, since it uses less digits than its factorization.

21002973113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379829 (or 2379818 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 21002973113640 in words is "twenty-one trillion, two billion, nine hundred seventy-three million, one hundred thirteen thousand, six hundred forty".