1150871040 has 480 divisors, whose sum is σ = 4596134400. Its totient is φ = 263208960.

The previous prime is 1150871023. The next prime is 1150871041. The reversal of 1150871040 is 401780511.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 1150870995 and 1150871013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150871041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4815241 + ... + 4815479.

It is an arithmetic number, because the mean of its divisors is an integer number (9575280).

Almost surely, 2^1150871040 is an apocalyptic number.

1150871040 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 1150871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298067200).

1150871040 is an abundant number, since it is smaller than the sum of its proper divisors (3445263360).

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

1150871040 is a wasteful number, since it uses less digits than its factorization.

1150871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1150871040 is about 33924.4902688309. The cubic root of 1150871040 is about 1047.9540022155.

The spelling of 1150871040 in words is "one billion, one hundred fifty million, eight hundred seventy-one thousand, forty".