34091202103140 has 192 divisors, whose sum is σ = 117492587057664. Its totient is φ = 7192314335232.

The previous prime is 34091202103139. The next prime is 34091202103159. The reversal of 34091202103140 is 4130120219043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34091202103098 and 34091202103107.

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, 72585942 + ... + 73054098.

It is an arithmetic number, because the mean of its divisors is an integer number (611940557592).

Almost surely, 2^{34091202103140} is an apocalyptic number.

34091202103140 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 34091202103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58746293528832).

34091202103140 is an abundant number, since it is smaller than the sum of its proper divisors (83401384954524).

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

34091202103140 is a wasteful number, since it uses less digits than its factorization.

34091202103140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481526 (or 481524 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 34091202103140 in words is "thirty-four trillion, ninety-one billion, two hundred two million, one hundred three thousand, one hundred forty".