34151205140000 has 360 divisors, whose sum is σ = 96115580471988. Its totient is φ = 11867904000000.

The previous prime is 34151205139999. The next prime is 34151205140011. The reversal of 34151205140000 is 4150215143.

It can be written as a sum of positive squares in 30 ways, for example, as 10843822656016 + 23307382483984 = 3292996^2 + 4827772^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74912750 + ... + 75367250.

Almost surely, 2^{34151205140000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34151205140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48057790235994).

34151205140000 is an abundant number, since it is smaller than the sum of its proper divisors (61964375331988).

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

34151205140000 is a wasteful number, since it uses less digits than its factorization.

34151205140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454578 (or 454538 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 34151205140000 its reverse (4150215143), we get a palindrome (34155355355143).

The spelling of 34151205140000 in words is "thirty-four trillion, one hundred fifty-one billion, two hundred five million, one hundred forty thousand".