21035948339840 has 576 divisors, whose sum is σ = 62226662111640. Its totient is φ = 6775103913984.

The previous prime is 21035948339771. The next prime is 21035948339911. The reversal of 21035948339840 is 4893384953012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2347342666816 + 18688605673024 = 1532104^2 + 4323032^2 .

It is a super-2 number, since 2×21035948339840² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21035948339840.

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 71 ways as a sum of consecutive naturals, for example, 975818342 + ... + 975839898.

Almost surely, 2^{21035948339840} is an apocalyptic number.

21035948339840 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 21035948339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31113331055820).

21035948339840 is an abundant number, since it is smaller than the sum of its proper divisors (41190713771800).

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

21035948339840 is a wasteful number, since it uses less digits than its factorization.

21035948339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21685 (or 21637 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 59.

The spelling of 21035948339840 in words is "twenty-one trillion, thirty-five billion, nine hundred forty-eight million, three hundred thirty-nine thousand, eight hundred forty".