42489280512 has 384 divisors, whose sum is σ = 148525977600. Its totient is φ = 11744870400.

The previous prime is 42489280507. The next prime is 42489280513. The reversal of 42489280512 is 21508298424.

42489280512 is a `hidden beast` number, since 4 + 2 + 48 + 92 + 8 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42489280513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11997462 + ... + 12001002.

It is an arithmetic number, because the mean of its divisors is an integer number (386786400).

Almost surely, 2^42489280512 is an apocalyptic number.

42489280512 is a gapful number since it is divisible by the number (42) 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 42489280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74262988800).

42489280512 is an abundant number, since it is smaller than the sum of its proper divisors (106036697088).

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

42489280512 is a wasteful number, since it uses less digits than its factorization.

42489280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 42489280512 in words is "forty-two billion, four hundred eighty-nine million, two hundred eighty thousand, five hundred twelve".