1127793904640 has 352 divisors, whose sum is σ = 3096722954304. Its totient is φ = 390416302080.

The previous prime is 1127793904631. The next prime is 1127793904649. The reversal of 1127793904640 is 464093977211.

It is an interprime number because it is at equal distance from previous prime (1127793904631) and next prime (1127793904649).

It is not an unprimeable number, because it can be changed into a prime (1127793904649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317955347 + ... + 317958893.

Almost surely, 2^{1127793904640} is an apocalyptic number.

1127793904640 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 1127793904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548361477152).

1127793904640 is an abundant number, since it is smaller than the sum of its proper divisors (1968929049664).

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

1127793904640 is a wasteful number, since it uses less digits than its factorization.

1127793904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 53.

The spelling of 1127793904640 in words is "one trillion, one hundred twenty-seven billion, seven hundred ninety-three million, nine hundred four thousand, six hundred forty".