4000020000040 has 64 divisors (see below), whose sum is σ = 9613791095760. Its totient is φ = 1492563394560.

The previous prime is 4000020000019. The next prime is 4000020000073. The reversal of 4000020000040 is 400000200004.

4000020000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2557037657476 + 1442982342564 = 1599074^2 + 1201242^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 4000019999981 and 4000020000026.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25951401 + ... + 26105080.

Almost surely, 2^{4000020000040} is an apocalyptic number.

4000020000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000020000040 is an abundant number, since it is smaller than the sum of its proper divisors (5613771095720).

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

4000020000040 is a wasteful number, since it uses less digits than its factorization.

4000020000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52056622 (or 52056618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 4000020000040 its reverse (400000200004), we get a palindrome (4400020200044).

The spelling of 4000020000040 in words is "four trillion, twenty million, forty", and thus it is an aban number.