1143761677440 has 128 divisors (see below), whose sum is σ = 3667572155520. Its totient is φ = 303176663040.

The previous prime is 1143761677417. The next prime is 1143761677463. The reversal of 1143761677440 is 447761673411.

It is an interprime number because it is at equal distance from previous prime (1143761677417) and next prime (1143761677463).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462921 + ... + 2104200.

It is an arithmetic number, because the mean of its divisors is an integer number (28652907465).

Almost surely, 2^{1143761677440} is an apocalyptic number.

1143761677440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143761677440 is an abundant number, since it is smaller than the sum of its proper divisors (2523810478080).

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

1143761677440 is a wasteful number, since it uses less digits than its factorization.

1143761677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567310 (or 3567298 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 1143761677440 in words is "one trillion, one hundred forty-three billion, seven hundred sixty-one million, six hundred seventy-seven thousand, four hundred forty".