34130214040500 has 192 divisors, whose sum is σ = 110450818732800. Its totient is φ = 9099691372800.

The previous prime is 34130214040357. The next prime is 34130214040511. The reversal of 34130214040500 is 504041203143.

It is a happy number.

34130214040500 is a `hidden beast` number, since 3 + 4 + 13 + 0 + 2 + 140 + 4 + 0 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72923232 + ... + 73389768.

It is an arithmetic number, because the mean of its divisors is an integer number (575264680900).

Almost surely, 2^{34130214040500} is an apocalyptic number.

34130214040500 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 34130214040500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55225409366400).

34130214040500 is an abundant number, since it is smaller than the sum of its proper divisors (76320604692300).

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

34130214040500 is a wasteful number, since it uses less digits than its factorization.

34130214040500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471984 (or 471966 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34130214040500 its reverse (504041203143), we get a palindrome (34634255243643).

The spelling of 34130214040500 in words is "thirty-four trillion, one hundred thirty billion, two hundred fourteen million, forty thousand, five hundred".