4262820915600 has 405 divisors, whose sum is σ = 16024696529283. Its totient is φ = 1048913349120.

The previous prime is 4262820915553. The next prime is 4262820915601. The reversal of 4262820915600 is 65190282624.

The square root of 4262820915600 is 2064660.

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

4262820915600 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 8 + 20 + 9 + 15 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1098748396944 + 3164072518656 = 1048212^2 + 1778784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4262820915601) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1610433477 + ... + 1610436123.

Almost surely, 2^{4262820915600} is an apocalyptic number.

4262820915600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4262820915600 is the 2064660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4262820915600

4262820915600 is an abundant number, since it is smaller than the sum of its proper divisors (11761875613683).

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

4262820915600 is a wasteful number, since it uses less digits than its factorization.

4262820915600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4262820915600 in words is "four trillion, two hundred sixty-two billion, eight hundred twenty million, nine hundred fifteen thousand, six hundred".