42400357441 has 24 divisors (see below), whose sum is σ = 48688021080. Its totient is φ = 36780097536.

The previous prime is 42400357429. The next prime is 42400357451. The reversal of 42400357441 is 14475300424.

It can be written as a sum of positive squares in 12 ways, for example, as 5397987841 + 37002369600 = 73471^2 + 192360^2 .

It is not a de Polignac number, because 42400357441 - 2¹³ = 42400349249 is a prime.

It is a super-2 number, since 2×42400357441² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42400357397 and 42400357406.

It is not an unprimeable number, because it can be changed into a prime (42400357451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1922565 + ... + 1944493.

It is an arithmetic number, because the mean of its divisors is an integer number (2028667545).

Almost surely, 2^42400357441 is an apocalyptic number.

It is an amenable number.

42400357441 is a deficient number, since it is larger than the sum of its proper divisors (6287663639).

42400357441 is a wasteful number, since it uses less digits than its factorization.

42400357441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22645 (or 22632 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 42400357441 its reverse (14475300424), we get a palindrome (56875657865).

The spelling of 42400357441 in words is "forty-two billion, four hundred million, three hundred fifty-seven thousand, four hundred forty-one".