1127402115840 has 4032 divisors, whose sum is σ = 5837092595712. Its totient is φ = 200658124800.

The previous prime is 1127402115799. The next prime is 1127402115881. The reversal of 1127402115840 is 485112047211.

1127402115840 is a `hidden beast` number, since 1 + 1 + 2 + 74 + 0 + 2 + 1 + 1 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1127402115799) and next prime (1127402115881).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1127402115795 and 1127402115804.

It is a congruent number.

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 15878903005 + ... + 15878903075.

It is an arithmetic number, because the mean of its divisors is an integer number (1447691616).

Almost surely, 2^{1127402115840} is an apocalyptic number.

1127402115840 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 1127402115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918546297856).

1127402115840 is an abundant number, since it is smaller than the sum of its proper divisors (4709690479872).

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

1127402115840 is a wasteful number, since it uses less digits than its factorization.

1127402115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 1127402115840 in words is "one trillion, one hundred twenty-seven billion, four hundred two million, one hundred fifteen thousand, eight hundred forty".