1005055040 has 168 divisors, whose sum is σ = 2667021336. Its totient is φ = 360448000.

The previous prime is 1005055033. The next prime is 1005055049. The reversal of 1005055040 is 405505001.

It can be written as a sum of positive squares in 4 ways, for example, as 660284416 + 344770624 = 25696^2 + 18568^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1005055049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3910592 + ... + 3910848.

It is an arithmetic number, because the mean of its divisors is an integer number (15875127).

Almost surely, 2^1005055040 is an apocalyptic number.

1005055040 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 1005055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333510668).

1005055040 is an abundant number, since it is smaller than the sum of its proper divisors (1661966296).

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

1005055040 is a wasteful number, since it uses less digits than its factorization.

1005055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 1005055040 is about 31702.6030476994. The cubic root of 1005055040 is about 1001.6821820103.

The spelling of 1005055040 in words is "one billion, five million, fifty-five thousand, forty".