1127074742976 has 448 divisors, whose sum is σ = 3706892743680. Its totient is φ = 294296371200.

The previous prime is 1127074742953. The next prime is 1127074743029. The reversal of 1127074742976 is 6792474707211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1127074742976² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 866313526 + ... + 866314826.

It is an arithmetic number, because the mean of its divisors is an integer number (8274314160).

Almost surely, 2^{1127074742976} is an apocalyptic number.

1127074742976 is a gapful number since it is divisible by the number (16) 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 1127074742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853446371840).

1127074742976 is an abundant number, since it is smaller than the sum of its proper divisors (2579818000704).

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

1127074742976 is a wasteful number, since it uses less digits than its factorization.

1127074742976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 1127074742976 in words is "one trillion, one hundred twenty-seven billion, seventy-four million, seven hundred forty-two thousand, nine hundred seventy-six".