1233453422240 has 288 divisors, whose sum is σ = 3221928465840. Its totient is φ = 445869785088.

The previous prime is 1233453422233. The next prime is 1233453422291. The reversal of 1233453422240 is 422243543321.

It can be written as a sum of positive squares in 24 ways, for example, as 533373144976 + 700080277264 = 730324^2 + 836708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1233453422240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222450856 + ... + 1222451864.

Almost surely, 2^{1233453422240} is an apocalyptic number.

1233453422240 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 1233453422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610964232920).

1233453422240 is an abundant number, since it is smaller than the sum of its proper divisors (1988475043600).

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

1233453422240 is a wasteful number, since it uses less digits than its factorization.

1233453422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 1233453422240 its reverse (422243543321), we get a palindrome (1655696965561).

The spelling of 1233453422240 in words is "one trillion, two hundred thirty-three billion, four hundred fifty-three million, four hundred twenty-two thousand, two hundred forty".