1127040829920 has 240 divisors, whose sum is σ = 3979546290720. Its totient is φ = 300390736896.

The previous prime is 1127040829909. The next prime is 1127040829963. The reversal of 1127040829920 is 299280407211.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 26585701 + ... + 26628059.

It is an arithmetic number, because the mean of its divisors is an integer number (16581442878).

Almost surely, 2^{1127040829920} is an apocalyptic number.

1127040829920 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 1127040829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989773145360).

1127040829920 is an abundant number, since it is smaller than the sum of its proper divisors (2852505460800).

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

1127040829920 is a wasteful number, since it uses less digits than its factorization.

1127040829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44439 (or 44422 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1127040829920 in words is "one trillion, one hundred twenty-seven billion, forty million, eight hundred twenty-nine thousand, nine hundred twenty".