1234233262080 has 2040 divisors, whose sum is σ = 5619243406392. Its totient is φ = 256842399744.

The previous prime is 1234233262061. The next prime is 1234233262159. The reversal of 1234233262080 is 802623324321.

1234233262080 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 23 + 3 + 2 + 620 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31473598464 + 1202759663616 = 177408^2 + 1096704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16907304924 + ... + 16907304996.

Almost surely, 2^{1234233262080} is an apocalyptic number.

1234233262080 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 1234233262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809621703196).

1234233262080 is an abundant number, since it is smaller than the sum of its proper divisors (4385010144312).

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

1234233262080 is an frugal number, since it uses more digits than its factorization.

1234233262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1234233262080 in words is "one trillion, two hundred thirty-four billion, two hundred thirty-three million, two hundred sixty-two thousand, eighty".