1128082426464 has 384 divisors, whose sum is σ = 3782588544000. Its totient is φ = 292885340160.

The previous prime is 1128082426463. The next prime is 1128082426477. The reversal of 1128082426464 is 4646242808211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128082426463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16198759 + ... + 16268249.

It is an arithmetic number, because the mean of its divisors is an integer number (9850491000).

Almost surely, 2^{1128082426464} is an apocalyptic number.

1128082426464 is a gapful number since it is divisible by the number (14) 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 1128082426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891294272000).

1128082426464 is an abundant number, since it is smaller than the sum of its proper divisors (2654506117536).

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

1128082426464 is a wasteful number, since it uses less digits than its factorization.

1128082426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69571 (or 69549 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 1128082426464 in words is "one trillion, one hundred twenty-eight billion, eighty-two million, four hundred twenty-six thousand, four hundred sixty-four".