1143096480 has 288 divisors, whose sum is σ = 4170216960. Its totient is φ = 284497920.

The previous prime is 1143096469. The next prime is 1143096491. The reversal of 1143096480 is 846903411.

1143096480 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 0 + 9 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1143096469) and next prime (1143096491).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1294119 + ... + 1295001.

It is an arithmetic number, because the mean of its divisors is an integer number (14479920).

Almost surely, 2^1143096480 is an apocalyptic number.

1143096480 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 1143096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085108480).

1143096480 is an abundant number, since it is smaller than the sum of its proper divisors (3027120480).

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

1143096480 is a wasteful number, since it uses less digits than its factorization.

1143096480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1143096480 is about 33809.7098479120. The cubic root of 1143096480 is about 1045.5888960364.

Adding to 1143096480 its reverse (846903411), we get a palindrome (1989999891).

The spelling of 1143096480 in words is "one billion, one hundred forty-three million, ninety-six thousand, four hundred eighty".