21014843904 has 240 divisors, whose sum is σ = 65667270240. Its totient is φ = 6634690560.

The previous prime is 21014843893. The next prime is 21014843959. The reversal of 21014843904 is 40934841012.

It is a happy number.

21014843904 is a `hidden beast` number, since 210 + 1 + 4 + 8 + 439 + 0 + 4 = 666.

It is a super-2 number, since 2×21014843904² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4988359 + ... + 4992569.

It is an arithmetic number, because the mean of its divisors is an integer number (273613626).

Almost surely, 2^21014843904 is an apocalyptic number.

21014843904 is a gapful number since it is divisible by the number (24) 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 21014843904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32833635120).

21014843904 is an abundant number, since it is smaller than the sum of its proper divisors (44652426336).

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

21014843904 is an equidigital number, since it uses as much as digits as its factorization.

21014843904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21014843904 in words is "twenty-one billion, fourteen million, eight hundred forty-three thousand, nine hundred four".