1143434880 has 640 divisors, whose sum is σ = 4905204480. Its totient is φ = 248168448.

The previous prime is 1143434867. The next prime is 1143434917. The reversal of 1143434880 is 884343411.

1143434880 is a `hidden beast` number, since 1 + 143 + 434 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1143434880² = 2614886649601228800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8346172 + ... + 8346308.

It is an arithmetic number, because the mean of its divisors is an integer number (7664382).

Almost surely, 2^1143434880 is an apocalyptic number.

1143434880 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 1143434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452602240).

1143434880 is an abundant number, since it is smaller than the sum of its proper divisors (3761769600).

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

1143434880 is a wasteful number, since it uses less digits than its factorization.

1143434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1143434880 is about 33814.7139570927. The cubic root of 1143434880 is about 1045.6920638730.

The spelling of 1143434880 in words is "one billion, one hundred forty-three million, four hundred thirty-four thousand, eight hundred eighty".