233273053440 has 2160 divisors, whose sum is σ = 1070336160432. Its totient is φ = 48157949952.

The previous prime is 233273053379. The next prime is 233273053441. The reversal of 233273053440 is 44350372332.

233273053440 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 7 + 305 + 344 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25687113984 + 207585939456 = 160272^2 + 455616^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×233273053440² (a number of 24 digits) contains 22 as substring.

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 = 233273053395 and 233273053404.

It is not an unprimeable number, because it can be changed into a prime (233273053441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3195521244 + ... + 3195521316.

Almost surely, 2^233273053440 is an apocalyptic number.

233273053440 is a gapful number since it is divisible by the number (20) 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 233273053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535168080216).

233273053440 is an abundant number, since it is smaller than the sum of its proper divisors (837063106992).

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

233273053440 is a wasteful number, since it uses less digits than its factorization.

233273053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 36.

The spelling of 233273053440 in words is "two hundred thirty-three billion, two hundred seventy-three million, fifty-three thousand, four hundred forty".