34468096441002 has 128 divisors (see below), whose sum is σ = 81465495552000. Its totient is φ = 9513975398400.

The previous prime is 34468096440919. The next prime is 34468096441003. The reversal of 34468096441002 is 20014469086443.

It is not an unprimeable number, because it can be changed into a prime (34468096441003) 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, 1924400427 + ... + 1924418337.

It is an arithmetic number, because the mean of its divisors is an integer number (636449184000).

Almost surely, 2^{34468096441002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34468096441002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40732747776000).

34468096441002 is an abundant number, since it is smaller than the sum of its proper divisors (46997399110998).

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

34468096441002 is a wasteful number, since it uses less digits than its factorization.

34468096441002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20412.

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 34468096441002 in words is "thirty-four trillion, four hundred sixty-eight billion, ninety-six million, four hundred forty-one thousand, two".