4942084686400 has 189 divisors, whose sum is σ = 12275690224161. Its totient is φ = 1958302279680.

The previous prime is 4942084686379. The next prime is 4942084686443. The reversal of 4942084686400 is 46864802494.

The square root of 4942084686400 is 2223080.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4637062651456 + 305022034944 = 2153384^2 + 552288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13249556614 + ... + 13249556986.

Almost surely, 2^{4942084686400} is an apocalyptic number.

4942084686400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4942084686400 is the 2223080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4942084686400

4942084686400 is an abundant number, since it is smaller than the sum of its proper divisors (7333605537761).

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

4942084686400 is an frugal number, since it uses more digits than its factorization.

4942084686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 4942084686400 in words is "four trillion, nine hundred forty-two billion, eighty-four million, six hundred eighty-six thousand, four hundred".