42400444113 has 40 divisors (see below), whose sum is σ = 65194030440. Its totient is φ = 27442437120.

The previous prime is 42400444103. The next prime is 42400444117. The reversal of 42400444113 is 31144400424.

42400444113 is a `hidden beast` number, since 4 + 240 + 0 + 4 + 4 + 411 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24999404544 + 17401039569 = 158112^2 + 131913^2 .

It is not a de Polignac number, because 42400444113 - 2²¹ = 42398346961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42400444117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1366273 + ... + 1396961.

It is an arithmetic number, because the mean of its divisors is an integer number (1629850761).

Almost surely, 2^42400444113 is an apocalyptic number.

It is an amenable number.

42400444113 is a deficient number, since it is larger than the sum of its proper divisors (22793586327).

42400444113 is a wasteful number, since it uses less digits than its factorization.

42400444113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31199 (or 31190 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42400444113 its reverse (31144400424), we get a palindrome (73544844537).

The spelling of 42400444113 in words is "forty-two billion, four hundred million, four hundred forty-four thousand, one hundred thirteen".