4234540840000 has 105 divisors (see below), whose sum is σ = 10501305691657. Its totient is φ = 1693651712000.

The previous prime is 4234540839989. The next prime is 4234540840001. The reversal of 4234540840000 is 480454324.

The square root of 4234540840000 is 2057800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1431889851456 + 2802650988544 = 1196616^2 + 1674112^2 .

It is a super-2 number, since 2×4234540840000² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4234540840001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 411554856 + ... + 411565144.

Almost surely, 2^{4234540840000} is an apocalyptic number.

4234540840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4234540840000 is the 2057800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234540840000

4234540840000 is an abundant number, since it is smaller than the sum of its proper divisors (6266764851657).

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

4234540840000 is an frugal number, since it uses more digits than its factorization.

4234540840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20610 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 4234540840000 in words is "four trillion, two hundred thirty-four billion, five hundred forty million, eight hundred forty thousand".