1129514400 has 432 divisors, whose sum is σ = 4629328704. Its totient is φ = 253808640.

The previous prime is 1129514389. The next prime is 1129514423. The reversal of 1129514400 is 44159211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3679047 + ... + 3679353.

Almost surely, 2^1129514400 is an apocalyptic number.

1129514400 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 1129514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314664352).

1129514400 is an abundant number, since it is smaller than the sum of its proper divisors (3499814304).

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

1129514400 is a wasteful number, since it uses less digits than its factorization.

1129514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1129514400 is about 33608.2489874138. The cubic root of 1129514400 is about 1041.4312149084.

The spelling of 1129514400 in words is "one billion, one hundred twenty-nine million, five hundred fourteen thousand, four hundred".