400400000040 has 32 divisors (see below), whose sum is σ = 1201200000480. Its totient is φ = 106773333312.

The previous prime is 400400000029. The next prime is 400400000041. The reversal of 400400000040 is 40000004004.

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.

It is a junction number, because it is equal to n+sod(n) for n = 400399999971 and 400400000025.

It is not an unprimeable number, because it can be changed into a prime (400400000041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1668333214 + ... + 1668333453.

It is an arithmetic number, because the mean of its divisors is an integer number (37537500015).

Almost surely, 2^400400000040 is an apocalyptic number.

400400000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400400000040 is an abundant number, since it is smaller than the sum of its proper divisors (800800000440).

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

400400000040 is a wasteful number, since it uses less digits than its factorization.

400400000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336666681 (or 3336666677 counting only the distinct ones).

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

Adding to 400400000040 its reverse (40000004004), we get a palindrome (440400004044).

The spelling of 400400000040 in words is "four hundred billion, four hundred million, forty", and thus it is an aban number.