4994152257600 has 567 divisors, whose sum is σ = 19522297360839. Its totient is φ = 1209988454400.

The previous prime is 4994152257581. The next prime is 4994152257643. The reversal of 4994152257600 is 67522514994.

It is a happy number.

The square root of 4994152257600 is 2234760.

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

4994152257600 is a `hidden beast` number, since 4 + 9 + 9 + 4 + 1 + 5 + 2 + 25 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 335185418304 + 4658966839296 = 578952^2 + 2158464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2949882354 + ... + 2949884046.

Almost surely, 2^{4994152257600} is an apocalyptic number.

4994152257600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4994152257600 is the 2234760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4994152257600

4994152257600 is an abundant number, since it is smaller than the sum of its proper divisors (14528145103239).

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

4994152257600 is a wasteful number, since it uses less digits than its factorization.

4994152257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4994152257600 in words is "four trillion, nine hundred ninety-four billion, one hundred fifty-two million, two hundred fifty-seven thousand, six hundred".