233256714240 has 816 divisors, whose sum is σ = 858512952864. Its totient is φ = 53980692480.

The previous prime is 233256714239. The next prime is 233256714253. The reversal of 233256714240 is 42417652332.

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, 4401070054 + ... + 4401070106.

Almost surely, 2^233256714240 is an apocalyptic number.

233256714240 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 233256714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429256476432).

233256714240 is an abundant number, since it is smaller than the sum of its proper divisors (625256238624).

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

233256714240 is an equidigital number, since it uses as much as digits as its factorization.

233256714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 233256714240 in words is "two hundred thirty-three billion, two hundred fifty-six million, seven hundred fourteen thousand, two hundred forty".