4249919342592 has 2160 divisors, whose sum is σ = 16903564177500. Its totient is φ = 1058657402880.

The previous prime is 4249919342569. The next prime is 4249919342663. The reversal of 4249919342592 is 2952439199424.

4249919342592 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 9 + 1 + 9 + 34 + 2 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4072388576256 + 177530766336 = 2018016^2 + 421344^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 179 ways as a sum of consecutive naturals, for example, 28522948534 + ... + 28522948682.

Almost surely, 2^{4249919342592} is an apocalyptic number.

4249919342592 is a gapful number since it is divisible by the number (42) 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 4249919342592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451782088750).

4249919342592 is an abundant number, since it is smaller than the sum of its proper divisors (12653644834908).

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

4249919342592 is a wasteful number, since it uses less digits than its factorization.

4249919342592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 201 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 4249919342592 in words is "four trillion, two hundred forty-nine billion, nine hundred nineteen million, three hundred forty-two thousand, five hundred ninety-two".