334073028240 has 1280 divisors, whose sum is σ = 1436308070400. Its totient is φ = 69672960000.

The previous prime is 334073028239. The next prime is 334073028241. The reversal of 334073028240 is 42820370433.

334073028240 is a `hidden beast` number, since 3 + 3 + 407 + 3 + 0 + 2 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (334073028239) and next prime (334073028241).

It is a super-2 number, since 2×334073028240² (a number of 24 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 = 334073028195 and 334073028204.

It is not an unprimeable number, because it can be changed into a prime (334073028241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1330968115 + ... + 1330968365.

It is an arithmetic number, because the mean of its divisors is an integer number (1122115680).

Almost surely, 2^334073028240 is an apocalyptic number.

334073028240 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 334073028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718154035200).

334073028240 is an abundant number, since it is smaller than the sum of its proper divisors (1102235042160).

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

334073028240 is a wasteful number, since it uses less digits than its factorization.

334073028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 334073028240 its reverse (42820370433), we get a palindrome (376893398673).

The spelling of 334073028240 in words is "three hundred thirty-four billion, seventy-three million, twenty-eight thousand, two hundred forty".