42459866064 has 240 divisors, whose sum is σ = 153101173120. Its totient is φ = 11028441600.

The previous prime is 42459866003. The next prime is 42459866081. The reversal of 42459866064 is 46066895424.

42459866064 is a `hidden beast` number, since 4 + 24 + 5 + 9 + 8 + 6 + 606 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42459866064.

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 47 ways as a sum of consecutive naturals, for example, 307884 + ... + 423924.

Almost surely, 2^42459866064 is an apocalyptic number.

42459866064 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 42459866064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76550586560).

42459866064 is an abundant number, since it is smaller than the sum of its proper divisors (110641307056).

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

42459866064 is a wasteful number, since it uses less digits than its factorization.

42459866064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116087 (or 116064 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 42459866064 in words is "forty-two billion, four hundred fifty-nine million, eight hundred sixty-six thousand, sixty-four".