4251338784 has 720 divisors, whose sum is σ = 16893787680. Its totient is φ = 1033482240.

The previous prime is 4251338761. The next prime is 4251338797. The reversal of 4251338784 is 4878331524.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23750407 + ... + 23750585.

It is an arithmetic number, because the mean of its divisors is an integer number (23463594).

Almost surely, 2^4251338784 is an apocalyptic number.

4251338784 is a gapful number since it is divisible by the number (44) 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 4251338784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446893840).

4251338784 is an abundant number, since it is smaller than the sum of its proper divisors (12642448896).

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

4251338784 is a wasteful number, since it uses less digits than its factorization.

4251338784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 4251338784 is about 65202.2912480842. The cubic root of 4251338784 is about 1619.9759667216.

The spelling of 4251338784 in words is "four billion, two hundred fifty-one million, three hundred thirty-eight thousand, seven hundred eighty-four".