235663434240 has 320 divisors, whose sum is σ = 831142553472. Its totient is φ = 56593612800.

The previous prime is 235663434211. The next prime is 235663434241. The reversal of 235663434240 is 42434366532.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 235663434192 and 235663434201.

It is not an unprimeable number, because it can be changed into a prime (235663434241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4064655 + ... + 4122225.

Almost surely, 2^235663434240 is an apocalyptic number.

235663434240 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 235663434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415571276736).

235663434240 is an abundant number, since it is smaller than the sum of its proper divisors (595479119232).

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

235663434240 is a wasteful number, since it uses less digits than its factorization.

235663434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57651 (or 57635 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

It can be divided in two parts, 235663 and 434240, that added together give a triangular number (669903 = T₁₁₅₇).

The spelling of 235663434240 in words is "two hundred thirty-five billion, six hundred sixty-three million, four hundred thirty-four thousand, two hundred forty".