4251865920 has 224 divisors, whose sum is σ = 14531498496. Its totient is φ = 1049395200.

The previous prime is 4251865909. The next prime is 4251865931. The reversal of 4251865920 is 295681524.

It is an interprime number because it is at equal distance from previous prime (4251865909) and next prime (4251865931).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993385 + ... + 997655.

Almost surely, 2^4251865920 is an apocalyptic number.

4251865920 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 4251865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265749248).

4251865920 is an abundant number, since it is smaller than the sum of its proper divisors (10279632576).

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

4251865920 is a wasteful number, since it uses less digits than its factorization.

4251865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 4251865920 is about 65206.3334347209. Note that the first 3 decimals coincide. The cubic root of 4251865920 is about 1620.0429191495.

The spelling of 4251865920 in words is "four billion, two hundred fifty-one million, eight hundred sixty-five thousand, nine hundred twenty".