4934084838400 has 99 divisors (see below), whose sum is σ = 12231436567861. Its totient is φ = 1973491773440.

The previous prime is 4934084838373. The next prime is 4934084838511. The reversal of 4934084838400 is 48384804394.

The square root of 4934084838400 is 2221280.

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

It can be written as a sum of positive squares in only one way, i.e., 1776270541824 + 3157814296576 = 1332768^2 + 1777024^2 .

It is a super-2 number, since 2×4934084838400² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 355397859 + ... + 355411741.

Almost surely, 2^{4934084838400} is an apocalyptic number.

4934084838400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4934084838400 is the 2221280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4934084838400

4934084838400 is an abundant number, since it is smaller than the sum of its proper divisors (7297351729461).

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

4934084838400 is an frugal number, since it uses more digits than its factorization.

4934084838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27796 (or 13890 counting only the distinct ones).

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

The spelling of 4934084838400 in words is "four trillion, nine hundred thirty-four billion, eighty-four million, eight hundred thirty-eight thousand, four hundred".