42409156608 has 896 divisors, whose sum is σ = 161470848000. Its totient is φ = 10924720128.

The previous prime is 42409156597. The next prime is 42409156627. The reversal of 42409156608 is 80665190424.

42409156608 is a `hidden beast` number, since 4 + 24 + 0 + 9 + 15 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986259435 + ... + 986259477.

It is an arithmetic number, because the mean of its divisors is an integer number (180213000).

Almost surely, 2^42409156608 is an apocalyptic number.

42409156608 is a gapful number since it is divisible by the number (48) 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 42409156608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80735424000).

42409156608 is an abundant number, since it is smaller than the sum of its proper divisors (119061691392).

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

42409156608 is an equidigital number, since it uses as much as digits as its factorization.

42409156608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42409156608 in words is "forty-two billion, four hundred nine million, one hundred fifty-six thousand, six hundred eight".