1011040000 has 180 divisors, whose sum is σ = 2586109680. Its totient is φ = 394240000.

The previous prime is 1011039959. The next prime is 1011040001. The reversal of 1011040000 is 401101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011040001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11359956 + ... + 11360044.

It is an arithmetic number, because the mean of its divisors is an integer number (14367276).

Almost surely, 2^1011040000 is an apocalyptic number.

1011040000 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 1011040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293054840).

1011040000 is an abundant number, since it is smaller than the sum of its proper divisors (1575069680).

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

1011040000 is an frugal number, since it uses more digits than its factorization.

1011040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1011040000 is about 31796.8551904115. The cubic root of 1011040000 is about 1003.6665400536. Note that the first 3 decimals are identical.

Adding to 1011040000 its reverse (401101), we get a palindrome (1011441101).

The spelling of 1011040000 in words is "one billion, eleven million, forty thousand".