234130400054400 has 192 divisors, whose sum is σ = 778241935310400. Its totient is φ = 61861976985600.

The previous prime is 234130400054393. The next prime is 234130400054491. The reversal of 234130400054400 is 4450004031432.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 110827836 + ... + 112920635.

It is an arithmetic number, because the mean of its divisors is an integer number (4053343413075).

Almost surely, 2^{234130400054400} is an apocalyptic number.

234130400054400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234130400054400 is an abundant number, since it is smaller than the sum of its proper divisors (544111535256000).

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

234130400054400 is a wasteful number, since it uses less digits than its factorization.

234130400054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223748607 (or 223748590 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 234130400054400 its reverse (4450004031432), we get a palindrome (238580404085832).

The spelling of 234130400054400 in words is "two hundred thirty-four trillion, one hundred thirty billion, four hundred million, fifty-four thousand, four hundred".