21344586459840 has 1344 divisors, whose sum is σ = 90487876976640. Its totient is φ = 4509791354880.

The previous prime is 21344586459809. The next prime is 21344586459863. The reversal of 21344586459840 is 4895468544312.

21344586459840 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 4 + 586 + 4 + 5 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×21344586459840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2967407284 + ... + 2967414476.

Almost surely, 2^{21344586459840} is an apocalyptic number.

21344586459840 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 21344586459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45243938488320).

21344586459840 is an abundant number, since it is smaller than the sum of its proper divisors (69143290516800).

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

21344586459840 is a wasteful number, since it uses less digits than its factorization.

21344586459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 21344586459840 in words is "twenty-one trillion, three hundred forty-four billion, five hundred eighty-six million, four hundred fifty-nine thousand, eight hundred forty".