1140008821767 has 24 divisors (see below), whose sum is σ = 1655816722560. Its totient is φ = 755792291520.

The previous prime is 1140008821741. The next prime is 1140008821811. The reversal of 1140008821767 is 7671288000411.

It is not a de Polignac number, because 1140008821767 - 2²⁸ = 1139740386311 is a prime.

It is a super-2 number, since 2×1140008821767² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140008821717) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3645834 + ... + 3946152.

It is an arithmetic number, because the mean of its divisors is an integer number (68992363440).

Almost surely, 2^{1140008821767} is an apocalyptic number.

1140008821767 is a deficient number, since it is larger than the sum of its proper divisors (515807900793).

1140008821767 is a wasteful number, since it uses less digits than its factorization.

1140008821767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302663 (or 302660 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1140008821767 in words is "one trillion, one hundred forty billion, eight million, eight hundred twenty-one thousand, seven hundred sixty-seven".