1153431440 has 80 divisors (see below), whose sum is σ = 3072220032. Its totient is φ = 394509312.

The previous prime is 1153431437. The next prime is 1153431443. The reversal of 1153431440 is 441343511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1153431437) and next prime (1153431443).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1153431443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253667 + ... + 258173.

Almost surely, 2^1153431440 is an apocalyptic number.

1153431440 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 1153431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536110016).

1153431440 is an abundant number, since it is smaller than the sum of its proper divisors (1918788592).

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

1153431440 is a wasteful number, since it uses less digits than its factorization.

1153431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1153431440 is about 33962.2060531998. The cubic root of 1153431440 is about 1048.7305717261.

Adding to 1153431440 its reverse (441343511), we get a palindrome (1594774951).

The spelling of 1153431440 in words is "one billion, one hundred fifty-three million, four hundred thirty-one thousand, four hundred forty".