4993972200000 has 1512 divisors, whose sum is σ = 21335926241448. Its totient is φ = 1112832000000.

The previous prime is 4993972199987. The next prime is 4993972200029. The reversal of 4993972200000 is 22793994.

It can be written as a sum of positive squares in 12 ways, for example, as 4646645849664 + 347326350336 = 2155608^2 + 589344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3616199310 + ... + 3616200690.

It is an arithmetic number, because the mean of its divisors is an integer number (14111062329).

Almost surely, 2^{4993972200000} is an apocalyptic number.

4993972200000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4993972200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667963120724).

4993972200000 is an abundant number, since it is smaller than the sum of its proper divisors (16341954041448).

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

4993972200000 is a wasteful number, since it uses less digits than its factorization.

4993972200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

Adding to 4993972200000 its reverse (22793994), we get a palindrome (4993994993994).

The spelling of 4993972200000 in words is "four trillion, nine hundred ninety-three billion, nine hundred seventy-two million, two hundred thousand".