35442040103712 has 288 divisors, whose sum is σ = 115548641208000. Its totient is φ = 10206722856960.

The previous prime is 35442040103711. The next prime is 35442040103759. The reversal of 35442040103712 is 21730104024453.

35442040103712 is a `hidden beast` number, since 3 + 5 + 442 + 0 + 40 + 103 + 71 + 2 = 666.

35442040103712 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 (288).

It is a super-2 number, since 2×35442040103712² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35442040103711) 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 47 ways as a sum of consecutive naturals, for example, 1524414 + ... + 8556162.

It is an arithmetic number, because the mean of its divisors is an integer number (401210559750).

Almost surely, 2^{35442040103712} is an apocalyptic number.

35442040103712 is a gapful number since it is divisible by the number (32) 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 35442040103712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57774320604000).

35442040103712 is an abundant number, since it is smaller than the sum of its proper divisors (80106601104288).

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

35442040103712 is a wasteful number, since it uses less digits than its factorization.

35442040103712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031856 (or 7031845 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 35442040103712 in words is "thirty-five trillion, four hundred forty-two billion, forty million, one hundred three thousand, seven hundred twelve".