4042429979040 has 144 divisors (see below), whose sum is σ = 13796799883776. Its totient is φ = 1077824448000.

The previous prime is 4042429979023. The next prime is 4042429979041. The reversal of 4042429979040 is 409799242404.

4042429979040 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 429 + 97 + 90 + 40 = 666.

4042429979040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4042429979041) 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, 9866265 + ... + 10267815.

It is an arithmetic number, because the mean of its divisors is an integer number (95811110304).

Almost surely, 2^{4042429979040} is an apocalyptic number.

4042429979040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042429979040 is an abundant number, since it is smaller than the sum of its proper divisors (9754369904736).

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

4042429979040 is a wasteful number, since it uses less digits than its factorization.

4042429979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408563 (or 408552 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4042429979040 in words is "four trillion, forty-two billion, four hundred twenty-nine million, nine hundred seventy-nine thousand, forty".