42435655272 has 128 divisors (see below), whose sum is σ = 127713801600. Its totient is φ = 13003490304.

The previous prime is 42435655231. The next prime is 42435655291. The reversal of 42435655272 is 27255653424.

42435655272 is a `hidden beast` number, since 4 + 2 + 43 + 56 + 552 + 7 + 2 = 666.

42435655272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23518 + ... + 292274.

It is an arithmetic number, because the mean of its divisors is an integer number (997764075).

Almost surely, 2^42435655272 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 42435655272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63856900800).

42435655272 is an abundant number, since it is smaller than the sum of its proper divisors (85278146328).

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

42435655272 is a wasteful number, since it uses less digits than its factorization.

42435655272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268832 (or 268822 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 45.

The spelling of 42435655272 in words is "forty-two billion, four hundred thirty-five million, six hundred fifty-five thousand, two hundred seventy-two".