4329780966400 has 264 divisors, whose sum is σ = 11034835216416. Its totient is φ = 1683247104000.

The previous prime is 4329780966353. The next prime is 4329780966431. The reversal of 4329780966400 is 46690879234.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1124324475 + ... + 1124328325.

It is an arithmetic number, because the mean of its divisors is an integer number (41798618244).

Almost surely, 2^{4329780966400} is an apocalyptic number.

4329780966400 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 4329780966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517417608208).

4329780966400 is an abundant number, since it is smaller than the sum of its proper divisors (6705054250016).

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

4329780966400 is a wasteful number, since it uses less digits than its factorization.

4329780966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 4329780966400 in words is "four trillion, three hundred twenty-nine billion, seven hundred eighty million, nine hundred sixty-six thousand, four hundred".