334400112420000 has 480 divisors, whose sum is σ = 1197196752407040. Its totient is φ = 81027442560000.

The previous prime is 334400112419993. The next prime is 334400112420083. The reversal of 334400112420000 is 24211004433.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×334400112420000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1374658381 + ... + 1374901619.

It is an arithmetic number, because the mean of its divisors is an integer number (2494159900848).

Almost surely, 2^{334400112420000} is an apocalyptic number.

334400112420000 is a gapful number since it is divisible by the number (30) 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 334400112420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598598376203520).

334400112420000 is an abundant number, since it is smaller than the sum of its proper divisors (862796639987040).

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

334400112420000 is a wasteful number, since it uses less digits than its factorization.

334400112420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245366 (or 245343 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 334400112420000 its reverse (24211004433), we get a palindrome (334424323424433).

The spelling of 334400112420000 in words is "three hundred thirty-four trillion, four hundred billion, one hundred twelve million, four hundred twenty thousand".