1127587026240 has 336 divisors, whose sum is σ = 4177614744576. Its totient is φ = 278337945600.

The previous prime is 1127587026239. The next prime is 1127587026253. The reversal of 1127587026240 is 426207857211.

1127587026240 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 587 + 0 + 2 + 62 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1778880 + ... + 2328000.

It is an arithmetic number, because the mean of its divisors is an integer number (12433377216).

Almost surely, 2^{1127587026240} is an apocalyptic number.

1127587026240 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 1127587026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088807372288).

1127587026240 is an abundant number, since it is smaller than the sum of its proper divisors (3050027718336).

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

1127587026240 is a wasteful number, since it uses less digits than its factorization.

1127587026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549198 (or 549185 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1127587026240 in words is "one trillion, one hundred twenty-seven billion, five hundred eighty-seven million, twenty-six thousand, two hundred forty".