1152541440 has 144 divisors (see below), whose sum is σ = 4090044000. Its totient is φ = 307335168.

The previous prime is 1152541421. The next prime is 1152541457. The reversal of 1152541440 is 441452511.

1152541440 is a `hidden beast` number, since 115 + 2 + 541 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17886 + ... + 51234.

Almost surely, 2^1152541440 is an apocalyptic number.

1152541440 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 1152541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045022000).

1152541440 is an abundant number, since it is smaller than the sum of its proper divisors (2937502560).

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

1152541440 is an equidigital number, since it uses as much as digits as its factorization.

1152541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33379 (or 33359 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1152541440 is about 33949.1007244669. The cubic root of 1152541440 is about 1048.4607650878.

Adding to 1152541440 its reverse (441452511), we get a palindrome (1593993951).

The spelling of 1152541440 in words is "one billion, one hundred fifty-two million, five hundred forty-one thousand, four hundred forty".