834121740699520 has 1024 divisors, whose sum is σ = 2482911052554240. Its totient is φ = 260928818380800.

The previous prime is 834121740699487. The next prime is 834121740699581. The reversal of 834121740699520 is 25996047121438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2080104091320 + ... + 2080104091720.

It is an arithmetic number, because the mean of its divisors is an integer number (2424717824760).

It is a 1-persistent number, because it is pandigital, but 2⋅834121740699520 = 1668243481399040 is not.

Almost surely, 2^{834121740699520} is an apocalyptic number.

834121740699520 is a gapful number since it is divisible by the number (80) 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 834121740699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241455526277120).

834121740699520 is an abundant number, since it is smaller than the sum of its proper divisors (1648789311854720).

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

834121740699520 is a wasteful number, since it uses less digits than its factorization.

834121740699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 834121740699520 in words is "eight hundred thirty-four trillion, one hundred twenty-one billion, seven hundred forty million, six hundred ninety-nine thousand, five hundred twenty".