132044302010400 has 576 divisors, whose sum is σ = 475701409411200. Its totient is φ = 31603097272320.

The previous prime is 132044302010339. The next prime is 132044302010417. The reversal of 132044302010400 is 4010203440231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718863191 + ... + 1718940009.

It is an arithmetic number, because the mean of its divisors is an integer number (825870502450).

Almost surely, 2^{132044302010400} is an apocalyptic number.

132044302010400 is a gapful number since it is divisible by the number (10) 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 132044302010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237850704705600).

132044302010400 is an abundant number, since it is smaller than the sum of its proper divisors (343657107400800).

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

132044302010400 is a wasteful number, since it uses less digits than its factorization.

132044302010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78381 (or 78368 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 132044302010400 its reverse (4010203440231), we get a palindrome (136054505450631).

The spelling of 132044302010400 in words is "one hundred thirty-two trillion, forty-four billion, three hundred two million, ten thousand, four hundred".