4004200000040 has 16 divisors (see below), whose sum is σ = 9009450000180. Its totient is φ = 1601680000000.

The previous prime is 4004200000013. The next prime is 4004200000057. The reversal of 4004200000040 is 400000024004.

It can be written as a sum of positive squares in 2 ways, for example, as 3601500608644 + 402699391396 = 1897762^2 + 634586^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4004199999970 and 4004200000024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50052499961 + ... + 50052500040.

Almost surely, 2^{4004200000040} is an apocalyptic number.

4004200000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004200000040 is an abundant number, since it is smaller than the sum of its proper divisors (5005250000140).

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

4004200000040 is a wasteful number, since it uses less digits than its factorization.

4004200000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100105000012 (or 100105000008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 4004200000040 its reverse (400000024004), we get a palindrome (4404200024044).

The spelling of 4004200000040 in words is "four trillion, four billion, two hundred million, forty", and thus it is an aban number.