1153981440 has 264 divisors, whose sum is σ = 4061903040. Its totient is φ = 302874624.

The previous prime is 1153981429. The next prime is 1153981441. The reversal of 1153981440 is 441893511.

1153981440 is a `hidden beast` number, since 1 + 1 + 539 + 81 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1153981395 and 1153981404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153981441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3640162 + ... + 3640478.

Almost surely, 2^1153981440 is an apocalyptic number.

1153981440 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 1153981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030951520).

1153981440 is an abundant number, since it is smaller than the sum of its proper divisors (2907921600).

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

1153981440 is a wasteful number, since it uses less digits than its factorization.

1153981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1153981440 is about 33970.3023242361. The cubic root of 1153981440 is about 1048.8972367855.

The spelling of 1153981440 in words is "one billion, one hundred fifty-three million, nine hundred eighty-one thousand, four hundred forty".