4085858918400 has 336 divisors, whose sum is σ = 15439729246464. Its totient is φ = 933909626880.

The previous prime is 4085858918387. The next prime is 4085858918423. The reversal of 4085858918400 is 48198585804.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3825789 + ... + 4775811.

Almost surely, 2^{4085858918400} is an apocalyptic number.

4085858918400 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 4085858918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719864623232).

4085858918400 is an abundant number, since it is smaller than the sum of its proper divisors (11353870328064).

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

4085858918400 is an equidigital number, since it uses as much as digits as its factorization.

4085858918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950069 (or 950040 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 60.

The spelling of 4085858918400 in words is "four trillion, eighty-five billion, eight hundred fifty-eight million, nine hundred eighteen thousand, four hundred".