1233155010240 has 336 divisors, whose sum is σ = 4440689416800. Its totient is φ = 313674891264.

The previous prime is 1233155010223. The next prime is 1233155010257. The reversal of 1233155010240 is 420105513321.

1233155010240 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 550 + 102 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1233155010223) and next prime (1233155010257).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6843216 + ... + 7021104.

It is an arithmetic number, because the mean of its divisors is an integer number (13216337550).

Almost surely, 2^{1233155010240} is an apocalyptic number.

1233155010240 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 1233155010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220344708400).

1233155010240 is an abundant number, since it is smaller than the sum of its proper divisors (3207534406560).

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

1233155010240 is a wasteful number, since it uses less digits than its factorization.

1233155010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178024 (or 178011 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1233155010240 in words is "one trillion, two hundred thirty-three billion, one hundred fifty-five million, ten thousand, two hundred forty".