34058233434240 has 1024 divisors, whose sum is σ = 129601036800000. Its totient is φ = 8435741884416.

The previous prime is 34058233434191. The next prime is 34058233434241. The reversal of 34058233434240 is 4243433285043.

34058233434240 is a `hidden beast` number, since 3 + 4 + 0 + 582 + 3 + 3 + 43 + 4 + 24 + 0 = 666.

It is a super-2 number, since 2×34058233434240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34058233434241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1650177841 + ... + 1650198479.

It is an arithmetic number, because the mean of its divisors is an integer number (126563512500).

Almost surely, 2^{34058233434240} is an apocalyptic number.

34058233434240 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 34058233434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800518400000).

34058233434240 is an abundant number, since it is smaller than the sum of its proper divisors (95542803365760).

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

34058233434240 is a wasteful number, since it uses less digits than its factorization.

34058233434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20822 (or 20804 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

The spelling of 34058233434240 in words is "thirty-four trillion, fifty-eight billion, two hundred thirty-three million, four hundred thirty-four thousand, two hundred forty".