21034402323120 has 720 divisors, whose sum is σ = 79387153896960. Its totient is φ = 4974685258752.

The previous prime is 21034402323091. The next prime is 21034402323127. The reversal of 21034402323120 is 2132320443012.

21034402323120 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 4 + 402 + 3 + 231 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (21034402323127) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 340094919 + ... + 340156761.

It is an arithmetic number, because the mean of its divisors is an integer number (110259935968).

Almost surely, 2^{21034402323120} is an apocalyptic number.

21034402323120 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 21034402323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39693576948480).

21034402323120 is an abundant number, since it is smaller than the sum of its proper divisors (58352751573840).

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

21034402323120 is a wasteful number, since it uses less digits than its factorization.

21034402323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61974 (or 61942 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21034402323120 its reverse (2132320443012), we get a palindrome (23166722766132).

The spelling of 21034402323120 in words is "twenty-one trillion, thirty-four billion, four hundred two million, three hundred twenty-three thousand, one hundred twenty".