42006614688 has 192 divisors, whose sum is σ = 126552222720. Its totient is φ = 13547471616.

The previous prime is 42006614681. The next prime is 42006614693. The reversal of 42006614688 is 88641660024.

42006614688 is a `hidden beast` number, since 4 + 20 + 0 + 6 + 614 + 6 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (42006614681) 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, 3969981 + ... + 3980547.

It is an arithmetic number, because the mean of its divisors is an integer number (659126160).

Almost surely, 2^42006614688 is an apocalyptic number.

42006614688 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 42006614688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63276111360).

42006614688 is an abundant number, since it is smaller than the sum of its proper divisors (84545608032).

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

42006614688 is a wasteful number, since it uses less digits than its factorization.

42006614688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 42006614688 in words is "forty-two billion, six million, six hundred fourteen thousand, six hundred eighty-eight".