334130873556240 has 800 divisors, whose sum is σ = 1229363422848000. Its totient is φ = 83985407041536.

The previous prime is 334130873556199. The next prime is 334130873556247. The reversal of 334130873556240 is 42655378031433.

334130873556240 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 3 + 0 + 8 + 7 + 3 + 5 + 5 + 624 + 0 = 666.

It is a super-2 number, since 2×334130873556240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (334130873556247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1321139077 + ... + 1321391963.

It is an arithmetic number, because the mean of its divisors is an integer number (1536704278560).

Almost surely, 2^{334130873556240} is an apocalyptic number.

334130873556240 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 334130873556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614681711424000).

334130873556240 is an abundant number, since it is smaller than the sum of its proper divisors (895232549291760).

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

334130873556240 is a wasteful number, since it uses less digits than its factorization.

334130873556240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253109 (or 253094 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 334130873556240 in words is "three hundred thirty-four trillion, one hundred thirty billion, eight hundred seventy-three million, five hundred fifty-six thousand, two hundred forty".