1153101440 has 64 divisors (see below), whose sum is σ = 2760811560. Its totient is φ = 460541952.

The previous prime is 1153101421. The next prime is 1153101461. The reversal of 1153101440 is 441013511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 688957504 + 464143936 = 26248^2 + 21544^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714074 + ... + 715686.

Almost surely, 2^1153101440 is an apocalyptic number.

1153101440 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 1153101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380405780).

1153101440 is an abundant number, since it is smaller than the sum of its proper divisors (1607710120).

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

1153101440 is a wasteful number, since it uses less digits than its factorization.

1153101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1153101440 is about 33957.3473640095. The cubic root of 1153101440 is about 1048.6305472580.

Adding to 1153101440 its reverse (441013511), we get a palindrome (1594114951).

The spelling of 1153101440 in words is "one billion, one hundred fifty-three million, one hundred one thousand, four hundred forty".