4251287040 has 960 divisors, whose sum is σ = 18808796160. Its totient is φ = 805109760.

The previous prime is 4251287023. The next prime is 4251287101. The reversal of 4251287040 is 407821524.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4251286992 and 4251287010.

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 95 ways as a sum of consecutive naturals, for example, 53813721 + ... + 53813799.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^4251287040 is an apocalyptic number.

4251287040 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 4251287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404398080).

4251287040 is an abundant number, since it is smaller than the sum of its proper divisors (14557509120).

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

4251287040 is a wasteful number, since it uses less digits than its factorization.

4251287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 4251287040 is about 65201.8944510050. The cubic root of 4251287040 is about 1619.9693943311.

The spelling of 4251287040 in words is "four billion, two hundred fifty-one million, two hundred eighty-seven thousand, forty".