34230214115040 has 384 divisors, whose sum is σ = 110558472514560. Its totient is φ = 8900249600000.

The previous prime is 34230214115011. The next prime is 34230214115089. The reversal of 34230214115040 is 4051141203243.

It is a super-2 number, since 2×34230214115040² (a number of 28 digits) contains 22 as substring.

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 = 34230214114989 and 34230214115007.

It is a congruent number.

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, 1082978917 + ... + 1083010523.

It is an arithmetic number, because the mean of its divisors is an integer number (287912688840).

Almost surely, 2^{34230214115040} is an apocalyptic number.

34230214115040 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 34230214115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55279236257280).

34230214115040 is an abundant number, since it is smaller than the sum of its proper divisors (76328258399520).

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

34230214115040 is a wasteful number, since it uses less digits than its factorization.

34230214115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32066 (or 32058 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 34230214115040 its reverse (4051141203243), we get a palindrome (38281355318283).

The spelling of 34230214115040 in words is "thirty-four trillion, two hundred thirty billion, two hundred fourteen million, one hundred fifteen thousand, forty".