1139845132800 has 1920 divisors, whose sum is σ = 4787333591040. Its totient is φ = 263208960000.

The previous prime is 1139845132799. The next prime is 1139845132801. The reversal of 1139845132800 is 82315489311.

1139845132800 is a `hidden beast` number, since 1 + 1 + 3 + 98 + 451 + 32 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1139845132799) and next prime (1139845132801).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1139845132801) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 11066457549 + ... + 11066457651.

It is an arithmetic number, because the mean of its divisors is an integer number (2493402912).

Almost surely, 2^{1139845132800} is an apocalyptic number.

1139845132800 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 1139845132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393666795520).

1139845132800 is an abundant number, since it is smaller than the sum of its proper divisors (3647488458240).

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

1139845132800 is a wasteful number, since it uses less digits than its factorization.

1139845132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1139845132800 in words is "one trillion, one hundred thirty-nine billion, eight hundred forty-five million, one hundred thirty-two thousand, eight hundred".