43440001004400 has 1920 divisors, whose sum is σ = 192315824332800. Its totient is φ = 8088732057600.

The previous prime is 43440001004347. The next prime is 43440001004419. The reversal of 43440001004400 is 440010004434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27511082811 + ... + 27511084389.

It is an arithmetic number, because the mean of its divisors is an integer number (100164491840).

Almost surely, 2^{43440001004400} is an apocalyptic number.

43440001004400 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 43440001004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96157912166400).

43440001004400 is an abundant number, since it is smaller than the sum of its proper divisors (148875823328400).

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

43440001004400 is a wasteful number, since it uses less digits than its factorization.

43440001004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 43440001004400 its reverse (440010004434), we get a palindrome (43880011008834).

The spelling of 43440001004400 in words is "forty-three trillion, four hundred forty billion, one million, four thousand, four hundred".