4139893800 has 576 divisors, whose sum is σ = 16920583680. Its totient is φ = 920989440.

The previous prime is 4139893787. The next prime is 4139893909. The reversal of 4139893800 is 83989314.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14628459 + ... + 14628741.

Almost surely, 2^4139893800 is an apocalyptic number.

4139893800 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 4139893800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460291840).

4139893800 is an abundant number, since it is smaller than the sum of its proper divisors (12780689880).

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

4139893800 is a wasteful number, since it uses less digits than its factorization.

4139893800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4139893800 is about 64342.0064965338. The cubic root of 4139893800 is about 1605.6950435403.

The spelling of 4139893800 in words is "four billion, one hundred thirty-nine million, eight hundred ninety-three thousand, eight hundred".