34121421401120 has 72 divisors (see below), whose sum is σ = 85632665944644. Its totient is φ = 12845711568896.

The previous prime is 34121421401107. The next prime is 34121421401129. The reversal of 34121421401120 is 2110412412143.

It can be written as a sum of positive squares in 6 ways, for example, as 29716846131856 + 4404575269264 = 5451316^2 + 2098708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34121421401120.

It is not an unprimeable number, because it can be changed into a prime (34121421401129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368913767 + ... + 369006246.

Almost surely, 2^{34121421401120} is an apocalyptic number.

It is an amenable number.

34121421401120 is an abundant number, since it is smaller than the sum of its proper divisors (51511244543524).

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

34121421401120 is a wasteful number, since it uses less digits than its factorization.

34121421401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737920062 (or 737920037 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 34121421401120 its reverse (2110412412143), we get a palindrome (36231833813263).

The spelling of 34121421401120 in words is "thirty-four trillion, one hundred twenty-one billion, four hundred twenty-one million, four hundred one thousand, one hundred twenty".