1130218633440 has 288 divisors, whose sum is σ = 4167104157216. Its totient is φ = 277300039680.

The previous prime is 1130218633403. The next prime is 1130218633549. The reversal of 1130218633440 is 443368120311.

1130218633440 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 2 + 18 + 633 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1130218633395 and 1130218633404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5648710 + ... + 5845370.

It is an arithmetic number, because the mean of its divisors is an integer number (14469111657).

Almost surely, 2^{1130218633440} is an apocalyptic number.

1130218633440 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 1130218633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083552078608).

1130218633440 is an abundant number, since it is smaller than the sum of its proper divisors (3036885523776).

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

1130218633440 is a wasteful number, since it uses less digits than its factorization.

1130218633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197002 (or 196991 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1130218633440 in words is "one trillion, one hundred thirty billion, two hundred eighteen million, six hundred thirty-three thousand, four hundred forty".