43428866400 has 432 divisors, whose sum is σ = 162875512800. Its totient is φ = 10851041280.

The previous prime is 43428866381. The next prime is 43428866413. The reversal of 43428866400 is 466882434.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32924941 + ... + 32926259.

It is an arithmetic number, because the mean of its divisors is an integer number (377026650).

Almost surely, 2^43428866400 is an apocalyptic number.

43428866400 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 43428866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81437756400).

43428866400 is an abundant number, since it is smaller than the sum of its proper divisors (119446646400).

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

43428866400 is a wasteful number, since it uses less digits than its factorization.

43428866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 43428866400 in words is "forty-three billion, four hundred twenty-eight million, eight hundred sixty-six thousand, four hundred".