1101056640 has 256 divisors, whose sum is σ = 3664362240. Its totient is φ = 280985600.

The previous prime is 1101056611. The next prime is 1101056653. The reversal of 1101056640 is 466501011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1101056640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5589022 + ... + 5589218.

It is an arithmetic number, because the mean of its divisors is an integer number (14313915).

Almost surely, 2^1101056640 is an apocalyptic number.

1101056640 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 1101056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832181120).

1101056640 is an abundant number, since it is smaller than the sum of its proper divisors (2563305600).

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

1101056640 is a wasteful number, since it uses less digits than its factorization.

1101056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1101056640 is about 33182.1735273625. The cubic root of 1101056640 is about 1032.6105395159.

Adding to 1101056640 its reverse (466501011), we get a palindrome (1567557651).

The spelling of 1101056640 in words is "one billion, one hundred one million, fifty-six thousand, six hundred forty".