1128967415730 has 320 divisors, whose sum is σ = 3983929297920. Its totient is φ = 222243523200.

The previous prime is 1128967415713. The next prime is 1128967415801. The reversal of 1128967415730 is 375147698211.

1128967415730 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 9 + 67 + 4 + 1 + 573 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 708685 + ... + 1661375.

It is an arithmetic number, because the mean of its divisors is an integer number (12449779056).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1128967415730 = 2257934831460, but 3⋅1128967415730 = 3386902247190 is not.

Almost surely, 2^{1128967415730} is an apocalyptic number.

1128967415730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128967415730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991964648960).

1128967415730 is an abundant number, since it is smaller than the sum of its proper divisors (2854961882190).

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

1128967415730 is a wasteful number, since it uses less digits than its factorization.

1128967415730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952747 (or 952738 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1128967415730 in words is "one trillion, one hundred twenty-eight billion, nine hundred sixty-seven million, four hundred fifteen thousand, seven hundred thirty".