1127411795640 has 512 divisors, whose sum is σ = 3988010557440. Its totient is φ = 252589547520.

The previous prime is 1127411795617. The next prime is 1127411795641. The reversal of 1127411795640 is 465971147211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1127411795640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127411795641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 790056607 + ... + 790058033.

It is an arithmetic number, because the mean of its divisors is an integer number (7789083120).

Almost surely, 2^{1127411795640} is an apocalyptic number.

1127411795640 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 1127411795640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994005278720).

1127411795640 is an abundant number, since it is smaller than the sum of its proper divisors (2860598761800).

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

1127411795640 is a wasteful number, since it uses less digits than its factorization.

1127411795640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 1127411795640 in words is "one trillion, one hundred twenty-seven billion, four hundred eleven million, seven hundred ninety-five thousand, six hundred forty".