43120114400 has 144 divisors (see below), whose sum is σ = 114942049488. Its totient is φ = 15665664000.

The previous prime is 43120114393. The next prime is 43120114451. The reversal of 43120114400 is 441102134.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 16375484 + ... + 16378116.

It is an arithmetic number, because the mean of its divisors is an integer number (798208677).

Almost surely, 2^43120114400 is an apocalyptic number.

43120114400 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 43120114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57471024744).

43120114400 is an abundant number, since it is smaller than the sum of its proper divisors (71821935088).

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

43120114400 is a wasteful number, since it uses less digits than its factorization.

43120114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 43120114400 its reverse (441102134), we get a palindrome (43561216534).

The spelling of 43120114400 in words is "forty-three billion, one hundred twenty million, one hundred fourteen thousand, four hundred".