21411040320 has 336 divisors, whose sum is σ = 80498216448. Its totient is φ = 5200035840.

The previous prime is 21411040271. The next prime is 21411040361. The reversal of 21411040320 is 2304011412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21411040293 and 21411040302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510707 + ... + 1524813.

Almost surely, 2^21411040320 is an apocalyptic number.

21411040320 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 21411040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40249108224).

21411040320 is an abundant number, since it is smaller than the sum of its proper divisors (59087176128).

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

21411040320 is a wasteful number, since it uses less digits than its factorization.

21411040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14178 (or 14165 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21411040320 its reverse (2304011412), we get a palindrome (23715051732).

The spelling of 21411040320 in words is "twenty-one billion, four hundred eleven million, forty thousand, three hundred twenty".