4052464416 has 288 divisors, whose sum is σ = 15474146688. Its totient is φ = 971550720.

The previous prime is 4052464399. The next prime is 4052464439. The reversal of 4052464416 is 6144642504.

4052464416 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 4 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 281260 + ... + 295316.

It is an arithmetic number, because the mean of its divisors is an integer number (53729676).

Almost surely, 2^4052464416 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 4052464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737073344).

4052464416 is an abundant number, since it is smaller than the sum of its proper divisors (11421682272).

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

4052464416 is a wasteful number, since it uses less digits than its factorization.

4052464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14104 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4052464416 is about 63658.9696429341. The cubic root of 4052464416 is about 1594.3111009067.

The spelling of 4052464416 in words is "four billion, fifty-two million, four hundred sixty-four thousand, four hundred sixteen".