834735041280 has 720 divisors, whose sum is σ = 3478091690304. Its totient is φ = 187188019200.

The previous prime is 834735041149. The next prime is 834735041293. The reversal of 834735041280 is 82140537438.

834735041280 is a `hidden beast` number, since 8 + 3 + 473 + 50 + 4 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38454430 + ... + 38476130.

Almost surely, 2^834735041280 is an apocalyptic number.

834735041280 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 834735041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739045845152).

834735041280 is an abundant number, since it is smaller than the sum of its proper divisors (2643356649024).

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

834735041280 is a wasteful number, since it uses less digits than its factorization.

834735041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21794 (or 21771 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 834735041280 in words is "eight hundred thirty-four billion, seven hundred thirty-five million, forty-one thousand, two hundred eighty".