1127346640420 has 576 divisors, whose sum is σ = 3435528370176. Its totient is φ = 300636610560.

The previous prime is 1127346640393. The next prime is 1127346640421. The reversal of 1127346640420 is 240466437211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1127346640421) 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 191 ways as a sum of consecutive naturals, for example, 296434239 + ... + 296438041.

It is an arithmetic number, because the mean of its divisors is an integer number (5964458976).

Almost surely, 2^{1127346640420} is an apocalyptic number.

1127346640420 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 1127346640420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717764185088).

1127346640420 is an abundant number, since it is smaller than the sum of its proper divisors (2308181729756).

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

1127346640420 is a wasteful number, since it uses less digits than its factorization.

1127346640420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 1127346640420 in words is "one trillion, one hundred twenty-seven billion, three hundred forty-six million, six hundred forty thousand, four hundred twenty".