234530130040000 has 280 divisors, whose sum is σ = 585188928200448. Its totient is φ = 93227412480000.

The previous prime is 234530130039869. The next prime is 234530130040009. The reversal of 234530130040000 is 40031035432.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (234530130040009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7892105142 + ... + 7892134858.

Almost surely, 2^{234530130040000} is an apocalyptic number.

234530130040000 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 234530130040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292594464100224).

234530130040000 is an abundant number, since it is smaller than the sum of its proper divisors (350658798160448).

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

234530130040000 is a wasteful number, since it uses less digits than its factorization.

234530130040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30973 (or 30948 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 234530130040000 its reverse (40031035432), we get a palindrome (234570161075432).

The spelling of 234530130040000 in words is "two hundred thirty-four trillion, five hundred thirty billion, one hundred thirty million, forty thousand".