4255416000 has 672 divisors, whose sum is σ = 17307763200. Its totient is φ = 1026432000.

The previous prime is 4255415993. The next prime is 4255416017. The reversal of 4255416000 is 6145524.

4255416000 is a `hidden beast` number, since 4 + 2 + 5 + 54 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21383901 + ... + 21384099.

It is an arithmetic number, because the mean of its divisors is an integer number (25755600).

Almost surely, 2^4255416000 is an apocalyptic number.

4255416000 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 4255416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8653881600).

4255416000 is an abundant number, since it is smaller than the sum of its proper divisors (13052347200).

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

4255416000 is a wasteful number, since it uses less digits than its factorization.

4255416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4255416000 is about 65233.5496504674. The cubic root of 4255416000 is about 1620.4936767028.

The spelling of 4255416000 in words is "four billion, two hundred fifty-five million, four hundred sixteen thousand".