859014426240 has 512 divisors, whose sum is σ = 3137952153600. Its totient is φ = 221957148672.

The previous prime is 859014426223. The next prime is 859014426241. The reversal of 859014426240 is 42624410958.

It is a happy number.

859014426240 is a `hidden beast` number, since 8 + 5 + 9 + 0 + 14 + 4 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (859014426241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 94361529 + ... + 94370631.

It is an arithmetic number, because the mean of its divisors is an integer number (6128812800).

Almost surely, 2^859014426240 is an apocalyptic number.

859014426240 is a gapful number since it is divisible by the number (80) 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 859014426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568976076800).

859014426240 is an abundant number, since it is smaller than the sum of its proper divisors (2278937727360).

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

859014426240 is a wasteful number, since it uses less digits than its factorization.

859014426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301 (or 9283 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 859014426240 in words is "eight hundred fifty-nine billion, fourteen million, four hundred twenty-six thousand, two hundred forty".