1184801042880 has 2016 divisors, whose sum is σ = 5354649151488. Its totient is φ = 238049280000.

The previous prime is 1184801042863. The next prime is 1184801042899. The reversal of 1184801042880 is 882401084811.

1184801042880 is a `hidden beast` number, since 118 + 480 + 10 + 42 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1184801042880² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4720322755 + ... + 4720323005.

It is an arithmetic number, because the mean of its divisors is an integer number (2656075968).

Almost surely, 2^{1184801042880} is an apocalyptic number.

1184801042880 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 1184801042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677324575744).

1184801042880 is an abundant number, since it is smaller than the sum of its proper divisors (4169848108608).

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

1184801042880 is a wasteful number, since it uses less digits than its factorization.

1184801042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The spelling of 1184801042880 in words is "one trillion, one hundred eighty-four billion, eight hundred one million, forty-two thousand, eight hundred eighty".