1128269514240 has 720 divisors, whose sum is σ = 4400239491648. Its totient is φ = 266821632000.

The previous prime is 1128269514227. The next prime is 1128269514263. The reversal of 1128269514240 is 424159628211.

1128269514240 is a `hidden beast` number, since 1 + 12 + 82 + 6 + 9 + 514 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114296505 + ... + 114306375.

Almost surely, 2^{1128269514240} is an apocalyptic number.

1128269514240 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 1128269514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200119745824).

1128269514240 is an abundant number, since it is smaller than the sum of its proper divisors (3271969977408).

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

1128269514240 is a wasteful number, since it uses less digits than its factorization.

1128269514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1128269514240 in words is "one trillion, one hundred twenty-eight billion, two hundred sixty-nine million, five hundred fourteen thousand, two hundred forty".