21442400010 has 24 divisors (see below), whose sum is σ = 55750240260. Its totient is φ = 5717973312.

The previous prime is 21442400009. The next prime is 21442400017. The reversal of 21442400010 is 1000424412.

21442400010 is a `hidden beast` number, since 214 + 42 + 400 + 0 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20830282929 + 612117081 = 144327^2 + 24741^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21442400017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119124355 + ... + 119124534.

Almost surely, 2^21442400010 is an apocalyptic number.

21442400010 is an abundant number, since it is smaller than the sum of its proper divisors (34307840250).

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

21442400010 is a wasteful number, since it uses less digits than its factorization.

21442400010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238248902 (or 238248899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21442400010 its reverse (1000424412), we get a palindrome (22442824422).

The spelling of 21442400010 in words is "twenty-one billion, four hundred forty-two million, four hundred thousand, ten".