334141444014420 has 192 divisors, whose sum is σ = 1070095525664256. Its totient is φ = 76314991656960.

The previous prime is 334141444014419. The next prime is 334141444014421. The reversal of 334141444014420 is 24410444141433.

It is an interprime number because it is at equal distance from previous prime (334141444014419) and next prime (334141444014421).

It is a super-2 number, since 2×334141444014420² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334141444014421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6688556082 + ... + 6688606038.

It is an arithmetic number, because the mean of its divisors is an integer number (5573414196168).

Almost surely, 2^{334141444014420} is an apocalyptic number.

334141444014420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334141444014420 is an abundant number, since it is smaller than the sum of its proper divisors (735954081649836).

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

334141444014420 is a wasteful number, since it uses less digits than its factorization.

334141444014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62210 (or 62208 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 334141444014420 its reverse (24410444141433), we get a palindrome (358551888155853).

The spelling of 334141444014420 in words is "three hundred thirty-four trillion, one hundred forty-one billion, four hundred forty-four million, fourteen thousand, four hundred twenty".