43401200400 has 180 divisors, whose sum is σ = 150714602532. Its totient is φ = 11565941760.

The previous prime is 43401200387. The next prime is 43401200411. The reversal of 43401200400 is 400210434.

It can be written as a sum of positive squares in 6 ways, for example, as 14593606416 + 28807593984 = 120804^2 + 169728^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7186182 + ... + 7192218.

Almost surely, 2^43401200400 is an apocalyptic number.

43401200400 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 43401200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75357301266).

43401200400 is an abundant number, since it is smaller than the sum of its proper divisors (107313402132).

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

43401200400 is a wasteful number, since it uses less digits than its factorization.

43401200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 43401200400 its reverse (400210434), we get a palindrome (43801410834).

The spelling of 43401200400 in words is "forty-three billion, four hundred one million, two hundred thousand, four hundred".