4033297006249 has 27 divisors (see below), whose sum is σ = 4713166895013. Its totient is φ = 3441434875200.

The previous prime is 4033297006243. The next prime is 4033297006253. The reversal of 4033297006249 is 9426007923304.

The square root of 4033297006249 is 2008307.

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

It can be written as a sum of positive squares in 4 ways, for example, as 270860916249 + 3762436090000 = 520443^2 + 1939700^2 .

It is not a de Polignac number, because 4033297006249 - 2²¹ = 4033294909097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4033297006243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3950339359 + ... + 3950340379.

Almost surely, 2^{4033297006249} is an apocalyptic number.

4033297006249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4033297006249 is the 2008307-th square number.

4033297006249 is the 1004154-th centered octagonal number.

It is an amenable number.

4033297006249 is a deficient number, since it is larger than the sum of its proper divisors (679869888764).

4033297006249 is an frugal number, since it uses more digits than its factorization.

4033297006249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

Multiplying 4033297006249 by its sum of digits (49), we get a square (197631553306201 = 14058149²).

4033297006249 divided by its sum of digits (49) gives a square (82312183801 = 286901²).

The spelling of 4033297006249 in words is "four trillion, thirty-three billion, two hundred ninety-seven million, six thousand, two hundred forty-nine".