4934617960000 has 315 divisors, whose sum is σ = 12705912526021. Its totient is φ = 1900807552000.

The previous prime is 4934617959979. The next prime is 4934617960009. The reversal of 4934617960000 is 697164394.

The square root of 4934617960000 is 2221400.

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 3690732792384 + 1243885167616 = 1921128^2 + 1115296^2 .

It is a super-3 number, since 3×4934617960000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4934617960009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12884119809 + ... + 12884120191.

Almost surely, 2^{4934617960000} is an apocalyptic number.

4934617960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4934617960000 is the 2221400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4934617960000

4934617960000 is an abundant number, since it is smaller than the sum of its proper divisors (7771294566021).

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

4934617960000 is an frugal number, since it uses more digits than its factorization.

4934617960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

Multiplying 4934617960000 by its sum of digits (49), we get a square (241796280040000 = 15549800²).

The spelling of 4934617960000 in words is "four trillion, nine hundred thirty-four billion, six hundred seventeen million, nine hundred sixty thousand".