1129216334400 has 2268 divisors, whose sum is σ = 5276625163264. Its totient is φ = 232794777600.

The previous prime is 1129216334383. The next prime is 1129216334401. The reversal of 1129216334400 is 44336129211.

1129216334400 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 216 + 3 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129216334401) by changing a digit.

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 323 ways as a sum of consecutive naturals, for example, 8891467137 + ... + 8891467263.

Almost surely, 2^{1129216334400} is an apocalyptic number.

1129216334400 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 1129216334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638312581632).

1129216334400 is an abundant number, since it is smaller than the sum of its proper divisors (4147408828864).

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

1129216334400 is an equidigital number, since it uses as much as digits as its factorization.

1129216334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1129216334400 in words is "one trillion, one hundred twenty-nine billion, two hundred sixteen million, three hundred thirty-four thousand, four hundred".