1151565440 has 64 divisors (see below), whose sum is σ = 2768449320. Its totient is φ = 458035200.

The previous prime is 1151565427. The next prime is 1151565461. The reversal of 1151565440 is 445651511.

It can be written as a sum of positive squares in 4 ways, for example, as 159567424 + 991998016 = 12632^2 + 31496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1151565440² = 2652205925204787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1151565397 and 1151565406.

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 7 ways as a sum of consecutive naturals, for example, 110870 + ... + 120810.

Almost surely, 2^1151565440 is an apocalyptic number.

1151565440 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 1151565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384224660).

1151565440 is an abundant number, since it is smaller than the sum of its proper divisors (1616883880).

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

1151565440 is an equidigital number, since it uses as much as digits as its factorization.

1151565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 1151565440 is about 33934.7232197347. The cubic root of 1151565440 is about 1048.1647275201.

The spelling of 1151565440 in words is "one billion, one hundred fifty-one million, five hundred sixty-five thousand, four hundred forty".