334404244404040 has 32 divisors (see below), whose sum is σ = 796668935199480. Its totient is φ = 125893362598912.

The previous prime is 334404244404037. The next prime is 334404244404121. The reversal of 334404244404040 is 40404442404433.

It can be written as a sum of positive squares in 4 ways, for example, as 334398934950084 + 5309453956 = 18286578^2 + 72866^2 .

It is a super-2 number, since 2×334404244404040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 334404244403984 and 334404244404002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245885473147 + ... + 245885474506.

Almost surely, 2^{334404244404040} is an apocalyptic number.

It is an amenable number.

334404244404040 is an abundant number, since it is smaller than the sum of its proper divisors (462264690795440).

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

334404244404040 is a wasteful number, since it uses less digits than its factorization.

334404244404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491770947681 (or 491770947677 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 40.

Adding to 334404244404040 its reverse (40404442404433), we get a palindrome (374808686808473).

The spelling of 334404244404040 in words is "three hundred thirty-four trillion, four hundred four billion, two hundred forty-four million, four hundred four thousand, forty".