21337503440 has 80 divisors (see below), whose sum is σ = 54625700160. Its totient is φ = 7686543360.

The previous prime is 21337503431. The next prime is 21337503463. The reversal of 21337503440 is 4430573312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21337503397 and 21337503406.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19145 + ... + 207464.

It is an arithmetic number, because the mean of its divisors is an integer number (682821252).

Almost surely, 2^21337503440 is an apocalyptic number.

21337503440 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 21337503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27312850080).

21337503440 is an abundant number, since it is smaller than the sum of its proper divisors (33288196720).

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

21337503440 is a wasteful number, since it uses less digits than its factorization.

21337503440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226740 (or 226734 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 21337503440 in words is "twenty-one billion, three hundred thirty-seven million, five hundred three thousand, four hundred forty".