21411430920 has 512 divisors, whose sum is σ = 82147737600. Its totient is φ = 4912358400.

The previous prime is 21411430919. The next prime is 21411430921. The reversal of 21411430920 is 2903411412.

It is a happy number.

21411430920 is a `hidden beast` number, since 2 + 141 + 1 + 430 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21411430919) and next prime (21411430921).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21411430921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17308542 + ... + 17309778.

It is an arithmetic number, because the mean of its divisors is an integer number (160444800).

Almost surely, 2^21411430920 is an apocalyptic number.

21411430920 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 21411430920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41073868800).

21411430920 is an abundant number, since it is smaller than the sum of its proper divisors (60736306680).

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

21411430920 is a wasteful number, since it uses less digits than its factorization.

21411430920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 21411430920 in words is "twenty-one billion, four hundred eleven million, four hundred thirty thousand, nine hundred twenty".