42132335341040 has 160 divisors (see below), whose sum is σ = 118721391344640. Its totient is φ = 13574498291712.

The previous prime is 42132335341021. The next prime is 42132335341049. The reversal of 42132335341040 is 4014353323124.

42132335341040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132335341049) 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 31 ways as a sum of consecutive naturals, for example, 2679941 + ... + 9562779.

It is an arithmetic number, because the mean of its divisors is an integer number (742008695904).

Almost surely, 2^{42132335341040} is an apocalyptic number.

42132335341040 is a gapful number since it is divisible by the number (40) 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 42132335341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59360695672320).

42132335341040 is an abundant number, since it is smaller than the sum of its proper divisors (76589056003600).

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

42132335341040 is a wasteful number, since it uses less digits than its factorization.

42132335341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883519 (or 6883513 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 42132335341040 its reverse (4014353323124), we get a palindrome (46146688664164).

The spelling of 42132335341040 in words is "forty-two trillion, one hundred thirty-two billion, three hundred thirty-five million, three hundred forty-one thousand, forty".