42706857281088 has 1344 divisors, whose sum is σ = 160377953218560. Its totient is φ = 9746085888000.

The previous prime is 42706857281087. The next prime is 42706857281107. The reversal of 42706857281088 is 88018275860724.

It is a happy number.

42706857281088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (42706857281087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4352951703 + ... + 4352961513.

It is an arithmetic number, because the mean of its divisors is an integer number (119328834240).

Almost surely, 2^{42706857281088} is an apocalyptic number.

42706857281088 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 42706857281088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80188976609280).

42706857281088 is an abundant number, since it is smaller than the sum of its proper divisors (117671095937472).

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

42706857281088 is a wasteful number, since it uses less digits than its factorization.

42706857281088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 66.

The spelling of 42706857281088 in words is "forty-two trillion, seven hundred six billion, eight hundred fifty-seven million, two hundred eighty-one thousand, eighty-eight".