21454341040 has 80 divisors (see below), whose sum is σ = 54560436480. Its totient is φ = 7780872960.

The previous prime is 21454341031. The next prime is 21454341043. The reversal of 21454341040 is 4014345412.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21454341043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301357 + ... + 365683.

It is an arithmetic number, because the mean of its divisors is an integer number (682005456).

Almost surely, 2^21454341040 is an apocalyptic number.

21454341040 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 21454341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27280218240).

21454341040 is an abundant number, since it is smaller than the sum of its proper divisors (33106095440).

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

21454341040 is a wasteful number, since it uses less digits than its factorization.

21454341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64730 (or 64724 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 21454341040 its reverse (4014345412), we get a palindrome (25468686452).

The spelling of 21454341040 in words is "twenty-one billion, four hundred fifty-four million, three hundred forty-one thousand, forty".