4151984256 has 384 divisors, whose sum is σ = 14939458560. Its totient is φ = 1079377920.

The previous prime is 4151984233. The next prime is 4151984261. The reversal of 4151984256 is 6524891514.

4151984256 is a `hidden beast` number, since 4 + 1 + 519 + 84 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 4249240 + ... + 4250216.

It is an arithmetic number, because the mean of its divisors is an integer number (38904840).

Almost surely, 2^4151984256 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 4151984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469729280).

4151984256 is an abundant number, since it is smaller than the sum of its proper divisors (10787474304).

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

4151984256 is a wasteful number, since it uses less digits than its factorization.

4151984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1037 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 4151984256 is about 64435.8926065279. The cubic root of 4151984256 is about 1607.2566550092.

The spelling of 4151984256 in words is "four billion, one hundred fifty-one million, nine hundred eighty-four thousand, two hundred fifty-six".