21388140000 has 360 divisors, whose sum is σ = 78476029632. Its totient is φ = 5518080000.

The previous prime is 21388139999. The next prime is 21388140041. The reversal of 21388140000 is 4188312.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 5578084 + ... + 5581916.

Almost surely, 2^21388140000 is an apocalyptic number.

21388140000 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 21388140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39238014816).

21388140000 is an abundant number, since it is smaller than the sum of its proper divisors (57087889632).

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

21388140000 is a wasteful number, since it uses less digits than its factorization.

21388140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 21388140000 in words is "twenty-one billion, three hundred eighty-eight million, one hundred forty thousand".