1139975036928 has 2016 divisors, whose sum is σ = 4568450664960. Its totient is φ = 280921374720.

The previous prime is 1139975036923. The next prime is 1139975036971. The reversal of 1139975036928 is 8296305799311.

1139975036928 is a `hidden beast` number, since 1 + 1 + 39 + 9 + 7 + 503 + 6 + 92 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1139975036923) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36773388273 + ... + 36773388303.

It is an arithmetic number, because the mean of its divisors is an integer number (2266096560).

Almost surely, 2^{1139975036928} is an apocalyptic number.

1139975036928 is a gapful number since it is divisible by the number (18) 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 1139975036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284225332480).

1139975036928 is an abundant number, since it is smaller than the sum of its proper divisors (3428475628032).

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

1139975036928 is an equidigital number, since it uses as much as digits as its factorization.

1139975036928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 1139975036928 in words is "one trillion, one hundred thirty-nine billion, nine hundred seventy-five million, thirty-six thousand, nine hundred twenty-eight".