4000400436400 has 120 divisors (see below), whose sum is σ = 9803936949840. Its totient is φ = 1568273710080.

The previous prime is 4000400436397. The next prime is 4000400436433. The reversal of 4000400436400 is 46340040004.

It is a happy number.

4000400436400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4900746 + ... + 5658454.

It is an arithmetic number, because the mean of its divisors is an integer number (81699474582).

Almost surely, 2^{4000400436400} is an apocalyptic number.

4000400436400 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 4000400436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901968474920).

4000400436400 is an abundant number, since it is smaller than the sum of its proper divisors (5803536513440).

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

4000400436400 is a wasteful number, since it uses less digits than its factorization.

4000400436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757991 (or 757980 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4000400436400 its reverse (46340040004), we get a palindrome (4046740476404).

The spelling of 4000400436400 in words is "four trillion, four hundred million, four hundred thirty-six thousand, four hundred".