21148700040 has 96 divisors (see below), whose sum is σ = 74020466520. Its totient is φ = 5205832704.

The previous prime is 21148700029. The next prime is 21148700059. The reversal of 21148700040 is 4000784112.

It can be written as a sum of positive squares in 4 ways, for example, as 14252061924 + 6896638116 = 119382^2 + 83046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21148699977 and 21148700013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2254797 + ... + 2264156.

Almost surely, 2^21148700040 is an apocalyptic number.

21148700040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21148700040 is an abundant number, since it is smaller than the sum of its proper divisors (52871766480).

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

21148700040 is a wasteful number, since it uses less digits than its factorization.

21148700040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518983 (or 4518976 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 21148700040 in words is "twenty-one billion, one hundred forty-eight million, seven hundred thousand, forty".