34040341001220 has 192 divisors, whose sum is σ = 100471926804480. Its totient is φ = 8594200384000.

The previous prime is 34040341001179. The next prime is 34040341001231. The reversal of 34040341001220 is 2210014304043.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486540601 + ... + 486610559.

It is an arithmetic number, because the mean of its divisors is an integer number (523291285440).

Almost surely, 2^{34040341001220} is an apocalyptic number.

34040341001220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040341001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50235963402240).

34040341001220 is an abundant number, since it is smaller than the sum of its proper divisors (66431585803260).

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

34040341001220 is a wasteful number, since it uses less digits than its factorization.

34040341001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73586 (or 73584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34040341001220 its reverse (2210014304043), we get a palindrome (36250355305263).

The spelling of 34040341001220 in words is "thirty-four trillion, forty billion, three hundred forty-one million, one thousand, two hundred twenty".