4042401010434 has 40 divisors (see below), whose sum is σ = 9228877798140. Its totient is φ = 1322043094944.

The previous prime is 4042401010391. The next prime is 4042401010519. The reversal of 4042401010434 is 4340101042404.

4042401010434 is a `hidden beast` number, since 404 + 240 + 1 + 0 + 10 + 4 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3615880993209 + 426520017225 = 1901547^2 + 653085^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4042401010398 and 4042401010407.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 235397949 + ... + 235415120.

Almost surely, 2^{4042401010434} is an apocalyptic number.

4042401010434 is an abundant number, since it is smaller than the sum of its proper divisors (5186476787706).

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

4042401010434 is a wasteful number, since it uses less digits than its factorization.

4042401010434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470813136 (or 470813127 counting only the distinct ones).

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

Adding to 4042401010434 its reverse (4340101042404), we get a palindrome (8382502052838).

The spelling of 4042401010434 in words is "four trillion, forty-two billion, four hundred one million, ten thousand, four hundred thirty-four".