4149873000 has 640 divisors, whose sum is σ = 17885387520. Its totient is φ = 874022400.

The previous prime is 4149872983. The next prime is 4149873061. The reversal of 4149873000 is 3789414.

It is a happy number.

4149873000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4149873000² = 34442891832258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7370719 + ... + 7371281.

It is an arithmetic number, because the mean of its divisors is an integer number (27945918).

Almost surely, 2^4149873000 is an apocalyptic number.

4149873000 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 4149873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942693760).

4149873000 is an abundant number, since it is smaller than the sum of its proper divisors (13735514520).

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

4149873000 is a wasteful number, since it uses less digits than its factorization.

4149873000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4149873000 is about 64419.5079149166. The cubic root of 4149873000 is about 1606.9841824297.

The spelling of 4149873000 in words is "four billion, one hundred forty-nine million, eight hundred seventy-three thousand".