1100161440 has 480 divisors, whose sum is σ = 4528427904. Its totient is φ = 246343680.

The previous prime is 1100161421. The next prime is 1100161453. The reversal of 1100161440 is 441610011.

1100161440 is a `hidden beast` number, since 1 + 10 + 0 + 1 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6078150 + ... + 6078330.

Almost surely, 2^1100161440 is an apocalyptic number.

1100161440 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 1100161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264213952).

1100161440 is an abundant number, since it is smaller than the sum of its proper divisors (3428266464).

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

1100161440 is a wasteful number, since it uses less digits than its factorization.

1100161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1100161440 is about 33168.6816138357. The cubic root of 1100161440 is about 1032.3306133805.

Adding to 1100161440 its reverse (441610011), we get a palindrome (1541771451).

The spelling of 1100161440 in words is "one billion, one hundred million, one hundred sixty-one thousand, four hundred forty".