34002121414420 has 24 divisors (see below), whose sum is σ = 71517615781248. Its totient is φ = 13579294125600.

The previous prime is 34002121414399. The next prime is 34002121414427. The reversal of 34002121414420 is 2441412120043.

It is a super-2 number, since 2×34002121414420² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002121414427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347139576 + ... + 1347164815.

It is an arithmetic number, because the mean of its divisors is an integer number (2979900657552).

Almost surely, 2^{34002121414420} is an apocalyptic number.

It is an amenable number.

34002121414420 is an abundant number, since it is smaller than the sum of its proper divisors (37515494366828).

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

34002121414420 is a wasteful number, since it uses less digits than its factorization.

34002121414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694305031 (or 2694305029 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 34002121414420 its reverse (2441412120043), we get a palindrome (36443533534463).

The spelling of 34002121414420 in words is "thirty-four trillion, two billion, one hundred twenty-one million, four hundred fourteen thousand, four hundred twenty".