1127427840000 has 2880 divisors, whose sum is σ = 5364370851840. Its totient is φ = 221184000000.

The previous prime is 1127427839953. The next prime is 1127427840013. The reversal of 1127427840000 is 487247211.

1127427840000 is a `hidden beast` number, since 112 + 74 + 2 + 78 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27498239980 + ... + 27498240020.

It is an arithmetic number, because the mean of its divisors is an integer number (1862628768).

Almost surely, 2^{1127427840000} is an apocalyptic number.

1127427840000 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 1127427840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682185425920).

1127427840000 is an abundant number, since it is smaller than the sum of its proper divisors (4236943011840).

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

1127427840000 is a wasteful number, since it uses less digits than its factorization.

1127427840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 1127427840000 in words is "one trillion, one hundred twenty-seven billion, four hundred twenty-seven million, eight hundred forty thousand".