4149759600 has 840 divisors, whose sum is σ = 18150445440. Its totient is φ = 890196480.

The previous prime is 4149759599. The next prime is 4149759617. The reversal of 4149759600 is 69579414.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 38782747 + ... + 38782853.

Almost surely, 2^4149759600 is an apocalyptic number.

4149759600 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 4149759600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9075222720).

4149759600 is an abundant number, since it is smaller than the sum of its proper divisors (14000685840).

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

4149759600 is a wasteful number, since it uses less digits than its factorization.

4149759600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4149759600 is about 64418.6277407397. The cubic root of 4149759600 is about 1606.9695447394.

The spelling of 4149759600 in words is "four billion, one hundred forty-nine million, seven hundred fifty-nine thousand, six hundred".