1130355420480 has 2688 divisors, whose sum is σ = 5061322506240. Its totient is φ = 227598336000.

The previous prime is 1130355420479. The next prime is 1130355420521. The reversal of 1130355420480 is 840245530311.

1130355420480 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 554 + 20 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15920498845 + ... + 15920498915.

It is an arithmetic number, because the mean of its divisors is an integer number (1882932480).

Almost surely, 2^{1130355420480} is an apocalyptic number.

1130355420480 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 1130355420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530661253120).

1130355420480 is an abundant number, since it is smaller than the sum of its proper divisors (3930967085760).

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

1130355420480 is a wasteful number, since it uses less digits than its factorization.

1130355420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1130355420480 in words is "one trillion, one hundred thirty billion, three hundred fifty-five million, four hundred twenty thousand, four hundred eighty".