234121314203440 has 320 divisors, whose sum is σ = 593622731427840. Its totient is φ = 85578917437440.

The previous prime is 234121314203429. The next prime is 234121314203477. The reversal of 234121314203440 is 44302413121432.

It is a junction number, because it is equal to n+sod(n) for n = 234121314203396 and 234121314203405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18650620204 + ... + 18650632756.

It is an arithmetic number, because the mean of its divisors is an integer number (1855071035712).

Almost surely, 2^{234121314203440} is an apocalyptic number.

234121314203440 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 234121314203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296811365713920).

234121314203440 is an abundant number, since it is smaller than the sum of its proper divisors (359501417224400).

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

234121314203440 is a wasteful number, since it uses less digits than its factorization.

234121314203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16380 (or 16374 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 234121314203440 its reverse (44302413121432), we get a palindrome (278423727324872).

The spelling of 234121314203440 in words is "two hundred thirty-four trillion, one hundred twenty-one billion, three hundred fourteen million, two hundred three thousand, four hundred forty".