235550042400 has 288 divisors, whose sum is σ = 781112505600. Its totient is φ = 61637760000.

The previous prime is 235550042383. The next prime is 235550042417. The reversal of 235550042400 is 4240055532.

It is an interprime number because it is at equal distance from previous prime (235550042383) and next prime (235550042417).

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

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, 104641275 + ... + 104643525.

It is an arithmetic number, because the mean of its divisors is an integer number (2712196200).

Almost surely, 2^235550042400 is an apocalyptic number.

235550042400 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 235550042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390556252800).

235550042400 is an abundant number, since it is smaller than the sum of its proper divisors (545562463200).

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

235550042400 is a wasteful number, since it uses less digits than its factorization.

235550042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 235550042400 its reverse (4240055532), we get a palindrome (239790097932).

The spelling of 235550042400 in words is "two hundred thirty-five billion, five hundred fifty million, forty-two thousand, four hundred".