4004202420040 has 64 divisors (see below), whose sum is σ = 9103343099760. Its totient is φ = 1584993484800.

The previous prime is 4004202420011. The next prime is 4004202420047. The reversal of 4004202420040 is 400242024004.

It can be written as a sum of positive squares in 8 ways, for example, as 3224085989476 + 780116430564 = 1795574^2 + 883242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4004202419993 and 4004202420020.

It is not an unprimeable number, because it can be changed into a prime (4004202420047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38363764 + ... + 38467996.

Almost surely, 2^{4004202420040} is an apocalyptic number.

4004202420040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004202420040 is an abundant number, since it is smaller than the sum of its proper divisors (5099140679720).

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

4004202420040 is a wasteful number, since it uses less digits than its factorization.

4004202420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114242 (or 114238 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 4004202420040 its reverse (400242024004), we get a palindrome (4404444444044).

The spelling of 4004202420040 in words is "four trillion, four billion, two hundred two million, four hundred twenty thousand, forty".