235795245143040 has 1056 divisors, whose sum is σ = 969557685264000. Its totient is φ = 54153858908160.

The previous prime is 235795245143011. The next prime is 235795245143041. The reversal of 235795245143040 is 40341542597532.

It is a happy number.

235795245143040 is a `hidden beast` number, since 2 + 3 + 5 + 7 + 9 + 52 + 4 + 514 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235795245143041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317442796 + ... + 318184724.

Almost surely, 2^{235795245143040} is an apocalyptic number.

235795245143040 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 235795245143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484778842632000).

235795245143040 is an abundant number, since it is smaller than the sum of its proper divisors (733762440120960).

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

235795245143040 is a wasteful number, since it uses less digits than its factorization.

235795245143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742004 (or 741969 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 235795245143040 in words is "two hundred thirty-five trillion, seven hundred ninety-five billion, two hundred forty-five million, one hundred forty-three thousand, forty".