34404413311242 has 128 divisors (see below), whose sum is σ = 85513851360000. Its totient is φ = 10180217376000.

The previous prime is 34404413311217. The next prime is 34404413311249. The reversal of 34404413311242 is 24211331440443.

34404413311242 is a `hidden beast` number, since 3 + 4 + 40 + 4 + 41 + 331 + 1 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34404413311197 and 34404413311206.

It is not an unprimeable number, because it can be changed into a prime (34404413311249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1743384 + ... + 8476332.

It is an arithmetic number, because the mean of its divisors is an integer number (668076963750).

Almost surely, 2^{34404413311242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34404413311242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42756925680000).

34404413311242 is an abundant number, since it is smaller than the sum of its proper divisors (51109438048758).

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

34404413311242 is a wasteful number, since it uses less digits than its factorization.

34404413311242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733253 (or 6733247 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34404413311242 its reverse (24211331440443), we get a palindrome (58615744751685).

The spelling of 34404413311242 in words is "thirty-four trillion, four hundred four billion, four hundred thirteen million, three hundred eleven thousand, two hundred forty-two".