1081559040 has 384 divisors, whose sum is σ = 3891888000. Its totient is φ = 254803968.

The previous prime is 1081559033. The next prime is 1081559053. The reversal of 1081559040 is 409551801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1081558992 and 1081559010.

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, 9922506 + ... + 9922614.

It is an arithmetic number, because the mean of its divisors is an integer number (10135125).

Almost surely, 2^1081559040 is an apocalyptic number.

1081559040 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 1081559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945944000).

1081559040 is an abundant number, since it is smaller than the sum of its proper divisors (2810328960).

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

1081559040 is a wasteful number, since it uses less digits than its factorization.

1081559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 1081559040 is about 32887.0649344085. The cubic root of 1081559040 is about 1026.4790196960.

The spelling of 1081559040 in words is "one billion, eighty-one million, five hundred fifty-nine thousand, forty".