4149083400 has 384 divisors, whose sum is σ = 16558940160. Its totient is φ = 834048000.

The previous prime is 4149083399. The next prime is 4149083417. The reversal of 4149083400 is 43809414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 1430752 + ... + 1433648.

It is an arithmetic number, because the mean of its divisors is an integer number (43122240).

Almost surely, 2^4149083400 is an apocalyptic number.

4149083400 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 4149083400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279470080).

4149083400 is an abundant number, since it is smaller than the sum of its proper divisors (12409856760).

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

4149083400 is a wasteful number, since it uses less digits than its factorization.

4149083400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4149083400 is about 64413.3790450400. The cubic root of 4149083400 is about 1606.8822551983.

The spelling of 4149083400 in words is "four billion, one hundred forty-nine million, eighty-three thousand, four hundred".