334132234111440 has 480 divisors, whose sum is σ = 1150265735888256. Its totient is φ = 86895289958400.

The previous prime is 334132234111399. The next prime is 334132234111451. The reversal of 334132234111440 is 44111432231433.

334132234111440 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 3 + 223 + 411 + 14 + 4 + 0 = 666.

It is a super-2 number, since 2×334132234111440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334132234111395 and 334132234111404.

It is a congruent number.

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, 8263829464 + ... + 8263869896.

Almost surely, 2^{334132234111440} is an apocalyptic number.

334132234111440 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 334132234111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575132867944128).

334132234111440 is an abundant number, since it is smaller than the sum of its proper divisors (816133501776816).

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

334132234111440 is a wasteful number, since it uses less digits than its factorization.

334132234111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42227 (or 42218 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 334132234111440 its reverse (44111432231433), we get a palindrome (378243666342873).

The spelling of 334132234111440 in words is "three hundred thirty-four trillion, one hundred thirty-two billion, two hundred thirty-four million, one hundred eleven thousand, four hundred forty".