42134020240 has 80 divisors (see below), whose sum is σ = 105700953456. Its totient is φ = 15527116800.

The previous prime is 42134020237. The next prime is 42134020261. The reversal of 42134020240 is 4202043124.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9299130624 + 32834889616 = 96432^2 + 181204^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502960 + ... + 580720.

Almost surely, 2^42134020240 is an apocalyptic number.

42134020240 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 42134020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52850476728).

42134020240 is an abundant number, since it is smaller than the sum of its proper divisors (63566933216).

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

42134020240 is a wasteful number, since it uses less digits than its factorization.

42134020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78308 (or 78302 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 42134020240 its reverse (4202043124), we get a palindrome (46336063364).

The spelling of 42134020240 in words is "forty-two billion, one hundred thirty-four million, twenty thousand, two hundred forty".