42152656896 has 288 divisors, whose sum is σ = 141702267330. Its totient is φ = 12039487488.

The previous prime is 42152656879. The next prime is 42152656919. The reversal of 42152656896 is 69865625124.

42152656896 is a `hidden beast` number, since 4 + 21 + 52 + 6 + 568 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21856665600 + 20295991296 = 147840^2 + 142464^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14449230 + ... + 14452146.

Almost surely, 2^42152656896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42152656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70851133665).

42152656896 is an abundant number, since it is smaller than the sum of its proper divisors (99549610434).

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

42152656896 is an equidigital number, since it uses as much as digits as its factorization.

42152656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2929 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 42152656896 in words is "forty-two billion, one hundred fifty-two million, six hundred fifty-six thousand, eight hundred ninety-six".