4119628800 has 528 divisors, whose sum is σ = 15920092160. Its totient is φ = 920125440.

The previous prime is 4119628787. The next prime is 4119628801. The reversal of 4119628800 is 88269114.

It is not an unprimeable number, because it can be changed into a prime (4119628801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42470352 + ... + 42470448.

Almost surely, 2^4119628800 is an apocalyptic number.

4119628800 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 4119628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960046080).

4119628800 is an abundant number, since it is smaller than the sum of its proper divisors (11800463360).

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

4119628800 is a wasteful number, since it uses less digits than its factorization.

4119628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 4119628800 is about 64184.3345373308. The cubic root of 4119628800 is about 1603.0707693810.

It can be divided in two parts, 41196 and 28800, that added together give a palindrome (69996).

The spelling of 4119628800 in words is "four billion, one hundred nineteen million, six hundred twenty-eight thousand, eight hundred".