334142220040 has 64 divisors (see below), whose sum is σ = 761213376000. Its totient is φ = 131988375552.

The previous prime is 334142219977. The next prime is 334142220043. The reversal of 334142220040 is 40022241433.

It is a happy number.

It is a super-2 number, since 2×334142220040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334142219987 and 334142220014.

It is not an unprimeable number, because it can be changed into a prime (334142220043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7943704 + ... + 7985656.

It is an arithmetic number, because the mean of its divisors is an integer number (11893959000).

Almost surely, 2^334142220040 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 334142220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380606688000).

334142220040 is an abundant number, since it is smaller than the sum of its proper divisors (427071155960).

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

334142220040 is a wasteful number, since it uses less digits than its factorization.

334142220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44446 (or 44442 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 334142220040 its reverse (40022241433), we get a palindrome (374164461473).

The spelling of 334142220040 in words is "three hundred thirty-four billion, one hundred forty-two million, two hundred twenty thousand, forty".