400004550040 has 64 divisors (see below), whose sum is σ = 918760392000. Its totient is φ = 156691376640.

The previous prime is 400004549993. The next prime is 400004550103. The reversal of 400004550040 is 40055400004.

It is a junction number, because it is equal to n+sod(n) for n = 400004549993 and 400004550020.

It is a congruent number.

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, 200821 + ... + 916699.

It is an arithmetic number, because the mean of its divisors is an integer number (14355631125).

Almost surely, 2^400004550040 is an apocalyptic number.

400004550040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400004550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459380196000).

400004550040 is an abundant number, since it is smaller than the sum of its proper divisors (518755841960).

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

400004550040 is a wasteful number, since it uses less digits than its factorization.

400004550040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716180 (or 716176 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

Adding to 400004550040 its reverse (40055400004), we get a palindrome (440059950044).

The spelling of 400004550040 in words is "four hundred billion, four million, five hundred fifty thousand, forty".