1263133440 has 432 divisors, whose sum is σ = 4714085376. Its totient is φ = 323481600.

The previous prime is 1263133411. The next prime is 1263133441. The reversal of 1263133440 is 443313621.

1263133440 is a `hidden beast` number, since 1 + 2 + 6 + 313 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (1263133441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9642175 + ... + 9642305.

Almost surely, 2^1263133440 is an apocalyptic number.

1263133440 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 1263133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357042688).

1263133440 is an abundant number, since it is smaller than the sum of its proper divisors (3450951936).

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

1263133440 is an equidigital number, since it uses as much as digits as its factorization.

1263133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1263133440 is about 35540.5886276522. The cubic root of 1263133440 is about 1080.9768938802.

The spelling of 1263133440 in words is "one billion, two hundred sixty-three million, one hundred thirty-three thousand, four hundred forty".