400000000040 has 64 divisors (see below), whose sum is σ = 909200088720. Its totient is φ = 158365440000.

The previous prime is 400000000019. The next prime is 400000000061. The reversal of 400000000040 is 40000000004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400000000019) and next prime (400000000061).

It can be written as a sum of positive squares in 8 ways, for example, as 216245460484 + 183754539556 = 465022^2 + 428666^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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

It is a junction number, because it is equal to n+sod(n) for n = 399999999946 and 400000000027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14291660 + ... + 14319620.

Almost surely, 2^400000000040 is an apocalyptic number.

400000000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400000000040 is an abundant number, since it is smaller than the sum of its proper divisors (509200088680).

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

400000000040 is a wasteful number, since it uses less digits than its factorization.

400000000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31614 (or 31610 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 400000000040 its reverse (40000000004), we get a palindrome (440000000044).

It can be divided in two parts, 4000000000 and 40, that multiplied together give a square (160000000000 = 400000²).

The spelling of 400000000040 in words is "four hundred billion, forty", and thus it is an aban number.