4000434002442 has 48 divisors (see below), whose sum is σ = 8914200815520. Its totient is φ = 1295855328096.

The previous prime is 4000434002419. The next prime is 4000434002459. The reversal of 4000434002442 is 2442004340004.

It is a happy number.

It is a super-4 number, since 4×4000434002442⁴ (a number of 52 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12965592 + ... + 13270547.

It is an arithmetic number, because the mean of its divisors is an integer number (185712516990).

Almost surely, 2^{4000434002442} is an apocalyptic number.

4000434002442 is an abundant number, since it is smaller than the sum of its proper divisors (4913766813078).

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

4000434002442 is a wasteful number, since it uses less digits than its factorization.

4000434002442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26236387 (or 26236384 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 4000434002442 its reverse (2442004340004), we get a palindrome (6442438342446).

The spelling of 4000434002442 in words is "four trillion, four hundred thirty-four million, two thousand, four hundred forty-two".