1011840000 has 440 divisors, whose sum is σ = 3683420928. Its totient is φ = 245760000.

The previous prime is 1011839993. The next prime is 1011840061. The reversal of 1011840000 is 481101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 32639985 + ... + 32640015.

Almost surely, 2^1011840000 is an apocalyptic number.

1011840000 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 1011840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841710464).

1011840000 is an abundant number, since it is smaller than the sum of its proper divisors (2671580928).

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

1011840000 is an equidigital number, since it uses as much as digits as its factorization.

1011840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1011840000 is about 31809.4325633137. The cubic root of 1011840000 is about 1003.9311921438.

The spelling of 1011840000 in words is "one billion, eleven million, eight hundred forty thousand".