233425614240 has 384 divisors, whose sum is σ = 1005527416320. Its totient is φ = 49250156544.

The previous prime is 233425614221. The next prime is 233425614259. The reversal of 233425614240 is 42416524332.

233425614240 is a `hidden beast` number, since 2 + 3 + 34 + 2 + 5 + 614 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (233425614221) and next prime (233425614259).

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 = 233425614195 and 233425614204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96232 + ... + 690008.

It is an arithmetic number, because the mean of its divisors is an integer number (2618560980).

Almost surely, 2^233425614240 is an apocalyptic number.

233425614240 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 233425614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502763708160).

233425614240 is an abundant number, since it is smaller than the sum of its proper divisors (772101802080).

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

233425614240 is a wasteful number, since it uses less digits than its factorization.

233425614240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593821 (or 593807 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 233425614240 in words is "two hundred thirty-three billion, four hundred twenty-five million, six hundred fourteen thousand, two hundred forty".