234420303744000 has 4224 divisors, whose sum is σ = 1037628674095104. Its totient is φ = 52128645120000.

The previous prime is 234420303743987. The next prime is 234420303744019. The reversal of 234420303744000 is 447303024432.

234420303744000 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 203 + 0 + 3 + 7 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 238474367509 + ... + 238474368491.

Almost surely, 2^{234420303744000} is an apocalyptic number.

234420303744000 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 234420303744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518814337047552).

234420303744000 is an abundant number, since it is smaller than the sum of its proper divisors (803208370351104).

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

234420303744000 is a wasteful number, since it uses less digits than its factorization.

234420303744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

Adding to 234420303744000 its reverse (447303024432), we get a palindrome (234867606768432).

The spelling of 234420303744000 in words is "two hundred thirty-four trillion, four hundred twenty billion, three hundred three million, seven hundred forty-four thousand".