233340414240 has 96 divisors (see below), whose sum is σ = 778258938240. Its totient is φ = 58563866624.

The previous prime is 233340414239. The next prime is 233340414253. The reversal of 233340414240 is 42414043332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 233340414198 and 233340414207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14289660 + ... + 14305979.

It is an arithmetic number, because the mean of its divisors is an integer number (8106863940).

Almost surely, 2^233340414240 is an apocalyptic number.

233340414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233340414240 is an abundant number, since it is smaller than the sum of its proper divisors (544918524000).

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

233340414240 is a wasteful number, since it uses less digits than its factorization.

233340414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28595674 (or 28595666 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 233340414240 its reverse (42414043332), we get a palindrome (275754457572).

The spelling of 233340414240 in words is "two hundred thirty-three billion, three hundred forty million, four hundred fourteen thousand, two hundred forty".