43132320400 has 120 divisors (see below), whose sum is σ = 111745425960. Its totient is φ = 15904542720.

The previous prime is 43132320379. The next prime is 43132320421. The reversal of 43132320400 is 402323134.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (43132320379) and next prime (43132320421).

It can be written as a sum of positive squares in 12 ways, for example, as 19229923584 + 23902396816 = 138672^2 + 154604^2 .

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, 4201674 + ... + 4211926.

It is an arithmetic number, because the mean of its divisors is an integer number (931211883).

Almost surely, 2^43132320400 is an apocalyptic number.

43132320400 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 43132320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55872712980).

43132320400 is an abundant number, since it is smaller than the sum of its proper divisors (68613105560).

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

43132320400 is a wasteful number, since it uses less digits than its factorization.

43132320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11093 (or 11082 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 43132320400 its reverse (402323134), we get a palindrome (43534643534).

The spelling of 43132320400 in words is "forty-three billion, one hundred thirty-two million, three hundred twenty thousand, four hundred".