4000400400000 has 384 divisors, whose sum is σ = 13314132216000. Its totient is φ = 1064171520000.

The previous prime is 4000400399993. The next prime is 4000400400083. The reversal of 4000400400000 is 40040004.

4000400400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519596151 + ... + 519603849.

Almost surely, 2^{4000400400000} is an apocalyptic number.

4000400400000 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 4000400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657066108000).

4000400400000 is an abundant number, since it is smaller than the sum of its proper divisors (9313731816000).

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

4000400400000 is an frugal number, since it uses more digits than its factorization.

4000400400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8174 (or 8142 counting only the distinct ones).

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

Adding to 4000400400000 its reverse (40040004), we get a palindrome (4000440440004).

The spelling of 4000400400000 in words is "four trillion, four hundred million, four hundred thousand".