21367241040 has 480 divisors, whose sum is σ = 73465297920. Its totient is φ = 5129625600.

The previous prime is 21367241039. The next prime is 21367241053. The reversal of 21367241040 is 4014276312.

It is a super-4 number, since 4×21367241040⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21367240989 and 21367241007.

It is a congruent number.

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, 240081316 + ... + 240081404.

It is an arithmetic number, because the mean of its divisors is an integer number (153052704).

Almost surely, 2^21367241040 is an apocalyptic number.

21367241040 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 21367241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36732648960).

21367241040 is an abundant number, since it is smaller than the sum of its proper divisors (52098056880).

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

21367241040 is a wasteful number, since it uses less digits than its factorization.

21367241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 21367241040 in words is "twenty-one billion, three hundred sixty-seven million, two hundred forty-one thousand, forty".