42014333440 has 160 divisors (see below), whose sum is σ = 103519530576. Its totient is φ = 16344023040.

The previous prime is 42014333429. The next prime is 42014333441. The reversal of 42014333440 is 4433341024.

It can be written as a sum of positive squares in 8 ways, for example, as 221890816 + 41792442624 = 14896^2 + 204432^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 42014333399 and 42014333408.

It is not an unprimeable number, because it can be changed into a prime (42014333441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64340154 + ... + 64340806.

Almost surely, 2^42014333440 is an apocalyptic number.

42014333440 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 42014333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51759765288).

42014333440 is an abundant number, since it is smaller than the sum of its proper divisors (61505197136).

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

42014333440 is an equidigital number, since it uses as much as digits as its factorization.

42014333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42014333440 its reverse (4433341024), we get a palindrome (46447674464).

The spelling of 42014333440 in words is "forty-two billion, fourteen million, three hundred thirty-three thousand, four hundred forty".