334400130000 has 400 divisors, whose sum is σ = 1203522999360. Its totient is φ = 88869312000.

The previous prime is 334400129981. The next prime is 334400130013. The reversal of 334400130000 is 31004433.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×334400130000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 85588047 + ... + 85591953.

Almost surely, 2^334400130000 is an apocalyptic number.

334400130000 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 334400130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601761499680).

334400130000 is an abundant number, since it is smaller than the sum of its proper divisors (869122869360).

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

334400130000 is a wasteful number, since it uses less digits than its factorization.

334400130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 334400130000 its reverse (31004433), we get a palindrome (334431134433).

The spelling of 334400130000 in words is "three hundred thirty-four billion, four hundred million, one hundred thirty thousand".