21440300431340 has 288 divisors, whose sum is σ = 56395610449920. Its totient is φ = 6801513062400.

The previous prime is 21440300431337. The next prime is 21440300431351. The reversal of 21440300431340 is 4313400304412.

It is a happy number.

It is a super-2 number, since 2×21440300431340² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2427840725 + ... + 2427849555.

It is an arithmetic number, because the mean of its divisors is an integer number (195818091840).

Almost surely, 2^{21440300431340} is an apocalyptic number.

21440300431340 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 21440300431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28197805224960).

21440300431340 is an abundant number, since it is smaller than the sum of its proper divisors (34955310018580).

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

21440300431340 is a wasteful number, since it uses less digits than its factorization.

21440300431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11321 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 21440300431340 its reverse (4313400304412), we get a palindrome (25753700735752).

The spelling of 21440300431340 in words is "twenty-one trillion, four hundred forty billion, three hundred million, four hundred thirty-one thousand, three hundred forty".