4259787840 has 896 divisors, whose sum is σ = 19780300800. Its totient is φ = 836075520.

The previous prime is 4259787839. The next prime is 4259787863. The reversal of 4259787840 is 487879524.

It is a happy number.

4259787840 is a `hidden beast` number, since 4 + 2 + 597 + 8 + 7 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 12640152 + ... + 12640488.

Almost surely, 2^4259787840 is an apocalyptic number.

4259787840 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 4259787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890150400).

4259787840 is an abundant number, since it is smaller than the sum of its proper divisors (15520512960).

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

4259787840 is a wasteful number, since it uses less digits than its factorization.

4259787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4259787840 is about 65267.0501861391. The cubic root of 4259787840 is about 1621.0484296997.

The spelling of 4259787840 in words is "four billion, two hundred fifty-nine million, seven hundred eighty-seven thousand, eight hundred forty".