21140984750640 has 320 divisors, whose sum is σ = 68087782103040. Its totient is φ = 5419871170560.

The previous prime is 21140984750591. The next prime is 21140984750659. The reversal of 21140984750640 is 4605748904112.

It is a super-3 number, since 3×21140984750640³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6267707994 + ... + 6267711366.

It is an arithmetic number, because the mean of its divisors is an integer number (212774319072).

Almost surely, 2^{21140984750640} is an apocalyptic number.

21140984750640 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 21140984750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34043891051520).

21140984750640 is an abundant number, since it is smaller than the sum of its proper divisors (46946797352400).

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

21140984750640 is a wasteful number, since it uses less digits than its factorization.

21140984750640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 21140984750640 in words is "twenty-one trillion, one hundred forty billion, nine hundred eighty-four million, seven hundred fifty thousand, six hundred forty".