42709524480 has 672 divisors, whose sum is σ = 175753678464. Its totient is φ = 9746251776.

The previous prime is 42709524449. The next prime is 42709524497. The reversal of 42709524480 is 8442590724.

42709524480 is a `hidden beast` number, since 42 + 7 + 0 + 9 + 524 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69672654 + ... + 69673266.

It is an arithmetic number, because the mean of its divisors is an integer number (261538212).

Almost surely, 2^42709524480 is an apocalyptic number.

42709524480 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 42709524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87876839232).

42709524480 is an abundant number, since it is smaller than the sum of its proper divisors (133044153984).

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

42709524480 is an frugal number, since it uses more digits than its factorization.

42709524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42709524480 in words is "forty-two billion, seven hundred nine million, five hundred twenty-four thousand, four hundred eighty".