4254921216 has 480 divisors, whose sum is σ = 15431095680. Its totient is φ = 1098842112.

The previous prime is 4254921173. The next prime is 4254921221. The reversal of 4254921216 is 6121294524.

It is a happy number.

4254921216 is a `hidden beast` number, since 42 + 5 + 492 + 121 + 6 = 666.

4254921216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30610875 + ... + 30611013.

It is an arithmetic number, because the mean of its divisors is an integer number (32148116).

Almost surely, 2^4254921216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4254921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715547840).

4254921216 is an abundant number, since it is smaller than the sum of its proper divisors (11176174464).

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

4254921216 is a wasteful number, since it uses less digits than its factorization.

4254921216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4254921216 is about 65229.7571358349. The cubic root of 4254921216 is about 1620.4308684744.

The spelling of 4254921216 in words is "four billion, two hundred fifty-four million, nine hundred twenty-one thousand, two hundred sixteen".