835093434240 has 384 divisors, whose sum is σ = 3129246600480. Its totient is φ = 203989893120.

The previous prime is 835093434199. The next prime is 835093434293. The reversal of 835093434240 is 42434390538.

835093434240 is a `hidden beast` number, since 83 + 50 + 93 + 434 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9766714 + ... + 9851846.

Almost surely, 2^835093434240 is an apocalyptic number.

835093434240 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 835093434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564623300240).

835093434240 is an abundant number, since it is smaller than the sum of its proper divisors (2294153166240).

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

835093434240 is a wasteful number, since it uses less digits than its factorization.

835093434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85302 (or 85287 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 835093434240 in words is "eight hundred thirty-five billion, ninety-three million, four hundred thirty-four thousand, two hundred forty".