4249969920 has 324 divisors, whose sum is σ = 17107452180. Its totient is φ = 971292672.

The previous prime is 4249969907. The next prime is 4249969943. The reversal of 4249969920 is 299699424.

4249969920 is a `hidden beast` number, since 4 + 2 + 499 + 69 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1467196416 + 2782773504 = 38304^2 + 52752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 560716 + ... + 568244.

Almost surely, 2^4249969920 is an apocalyptic number.

4249969920 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 4249969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553726090).

4249969920 is an abundant number, since it is smaller than the sum of its proper divisors (12857482260).

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

4249969920 is a wasteful number, since it uses less digits than its factorization.

4249969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 4249969920 is about 65191.7933485496. The cubic root of 4249969920 is about 1619.8020791582.

It can be divided in two parts, 4249 and 969920, that added together give a square (974169 = 987²).

The spelling of 4249969920 in words is "four billion, two hundred forty-nine million, nine hundred sixty-nine thousand, nine hundred twenty".