42408535680 has 1152 divisors, whose sum is σ = 181977269760. Its totient is φ = 9057484800.

The previous prime is 42408535657. The next prime is 42408535727. The reversal of 42408535680 is 8653580424.

42408535680 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 85 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 323729215 + ... + 323729345.

It is an arithmetic number, because the mean of its divisors is an integer number (157966380).

Almost surely, 2^42408535680 is an apocalyptic number.

42408535680 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 42408535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90988634880).

42408535680 is an abundant number, since it is smaller than the sum of its proper divisors (139568734080).

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

42408535680 is a wasteful number, since it uses less digits than its factorization.

42408535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 42408535680 in words is "forty-two billion, four hundred eight million, five hundred thirty-five thousand, six hundred eighty".