4342785258240 has 1728 divisors, whose sum is σ = 18347220283392. Its totient is φ = 934015795200.

The previous prime is 4342785258233. The next prime is 4342785258277. The reversal of 4342785258240 is 428525872434.

4342785258240 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 7 + 8 + 52 + 582 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14145880167 + ... + 14145880473.

Almost surely, 2^{4342785258240} is an apocalyptic number.

4342785258240 is a gapful number since it is divisible by the number (40) 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 4342785258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173610141696).

4342785258240 is an abundant number, since it is smaller than the sum of its proper divisors (14004435025152).

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

4342785258240 is a wasteful number, since it uses less digits than its factorization.

4342785258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

It can be divided in two parts, 4342785 and 258240, that added together give a square (4601025 = 2145²).

The spelling of 4342785258240 in words is "four trillion, three hundred forty-two billion, seven hundred eighty-five million, two hundred fifty-eight thousand, two hundred forty".