21133342434240 has 336 divisors, whose sum is σ = 74437451925408. Its totient is φ = 5501151731712.

The previous prime is 21133342434227. The next prime is 21133342434277. The reversal of 21133342434240 is 4243424333112.

21133342434240 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 334 + 243 + 42 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21133342434195 and 21133342434204.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 29718679 + ... + 30421481.

Almost surely, 2^{21133342434240} is an apocalyptic number.

21133342434240 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 21133342434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37218725962704).

21133342434240 is an abundant number, since it is smaller than the sum of its proper divisors (53304109491168).

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

21133342434240 is a wasteful number, since it uses less digits than its factorization.

21133342434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703076 (or 703063 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 21133342434240 its reverse (4243424333112), we get a palindrome (25376766767352).

The spelling of 21133342434240 in words is "twenty-one trillion, one hundred thirty-three billion, three hundred forty-two million, four hundred thirty-four thousand, two hundred forty".