1130440147200 has 2160 divisors, whose sum is σ = 5317125682176. Its totient is φ = 230517964800.

The previous prime is 1130440147159. The next prime is 1130440147259. The reversal of 1130440147200 is 27410440311.

1130440147200 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 440 + 14 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×1130440147200³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 239 ways as a sum of consecutive naturals, for example, 1462406014 + ... + 1462406786.

Almost surely, 2^{1130440147200} is an apocalyptic number.

1130440147200 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 1130440147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658562841088).

1130440147200 is an abundant number, since it is smaller than the sum of its proper divisors (4186685534976).

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

1130440147200 is a wasteful number, since it uses less digits than its factorization.

1130440147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 1130440147200 its reverse (27410440311), we get a palindrome (1157850587511).

The spelling of 1130440147200 in words is "one trillion, one hundred thirty billion, four hundred forty million, one hundred forty-seven thousand, two hundred".