334111304000400 has 480 divisors, whose sum is σ = 1118580068793600. Its totient is φ = 85087131402240.

The previous prime is 334111304000399. The next prime is 334111304000473. The reversal of 334111304000400 is 4000403111433.

It is a super-2 number, since 2×334111304000400² (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 95 ways as a sum of consecutive naturals, for example, 65808802662 + ... + 65808807738.

It is an arithmetic number, because the mean of its divisors is an integer number (2330375143320).

Almost surely, 2^{334111304000400} is an apocalyptic number.

334111304000400 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 334111304000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559290034396800).

334111304000400 is an abundant number, since it is smaller than the sum of its proper divisors (784468764793200).

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

334111304000400 is a wasteful number, since it uses less digits than its factorization.

334111304000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 334111304000400 its reverse (4000403111433), we get a palindrome (338111707111833).

The spelling of 334111304000400 in words is "three hundred thirty-four trillion, one hundred eleven billion, three hundred four million, four hundred", and thus it is an aban number.