4249838880 has 384 divisors, whose sum is σ = 17091648000. Its totient is φ = 966131712.

The previous prime is 4249838849. The next prime is 4249838893. The reversal of 4249838880 is 888389424.

4249838880 is a `hidden beast` number, since 42 + 498 + 38 + 8 + 80 = 666.

It is a super-2 number, since 2×4249838880² = 36122261011919308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9464896 + ... + 9465344.

It is an arithmetic number, because the mean of its divisors is an integer number (44509500).

Almost surely, 2^4249838880 is an apocalyptic number.

4249838880 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 4249838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545824000).

4249838880 is an abundant number, since it is smaller than the sum of its proper divisors (12841809120).

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

4249838880 is a wasteful number, since it uses less digits than its factorization.

4249838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 4249838880 is about 65190.7883063244. The cubic root of 4249838880 is about 1619.7854311152.

The spelling of 4249838880 in words is "four billion, two hundred forty-nine million, eight hundred thirty-eight thousand, eight hundred eighty".