400000400040 has 64 divisors (see below), whose sum is σ = 1200046881600. Its totient is φ = 106662712832.

The previous prime is 400000400011. The next prime is 400000400057. The reversal of 400000400040 is 40004000004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

400000400040 is a modest number, since divided by 400040 gives 4000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 400000399989 and 400000400025.

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 15 ways as a sum of consecutive naturals, for example, 4411804 + ... + 4501556.

It is an arithmetic number, because the mean of its divisors is an integer number (18750732525).

Almost surely, 2^400000400040 is an apocalyptic number.

400000400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400000400040 is an abundant number, since it is smaller than the sum of its proper divisors (800046481560).

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

400000400040 is a wasteful number, since it uses less digits than its factorization.

400000400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126906 (or 126902 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 400000400040 its reverse (40004000004), we get a palindrome (440004400044).

The spelling of 400000400040 in words is "four hundred billion, four hundred thousand, forty".