1233440274240 has 336 divisors, whose sum is σ = 4426412036160. Its totient is φ = 323334650880.

The previous prime is 1233440274239. The next prime is 1233440274307. The reversal of 1233440274240 is 424720443321.

1233440274240 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 4 + 402 + 7 + 4 + 240 = 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 = 1233440274195 and 1233440274204.

It is a congruent number.

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, 30055335 + ... + 30096345.

Almost surely, 2^{1233440274240} is an apocalyptic number.

1233440274240 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 1233440274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213206018080).

1233440274240 is an abundant number, since it is smaller than the sum of its proper divisors (3192971761920).

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

1233440274240 is an equidigital number, since it uses as much as digits as its factorization.

1233440274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41155 (or 41080 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 1233440274240 in words is "one trillion, two hundred thirty-three billion, four hundred forty million, two hundred seventy-four thousand, two hundred forty".