1233067440 has 120 divisors (see below), whose sum is σ = 4201699824. Its totient is φ = 298918400.

The previous prime is 1233067427. The next prime is 1233067457. The reversal of 1233067440 is 447603321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1233067398 and 1233067407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7810 + ... + 50270.

Almost surely, 2^1233067440 is an apocalyptic number.

1233067440 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 1233067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100849912).

1233067440 is an abundant number, since it is smaller than the sum of its proper divisors (2968632384).

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

1233067440 is a wasteful number, since it uses less digits than its factorization.

1233067440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42499 (or 42482 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 1233067440 is about 35115.0600170354. The cubic root of 1233067440 is about 1072.3312028893.

The spelling of 1233067440 in words is "one billion, two hundred thirty-three million, sixty-seven thousand, four hundred forty".