834137484840 has 320 divisors, whose sum is σ = 3074376634560. Its totient is φ = 201165742080.

The previous prime is 834137484827. The next prime is 834137484847. The reversal of 834137484840 is 48484731438.

834137484840 is a `hidden beast` number, since 8 + 3 + 413 + 74 + 84 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (834137484847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6817887 + ... + 6939153.

It is an arithmetic number, because the mean of its divisors is an integer number (9607426983).

Almost surely, 2^834137484840 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 834137484840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537188317280).

834137484840 is an abundant number, since it is smaller than the sum of its proper divisors (2240239149720).

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

834137484840 is a wasteful number, since it uses less digits than its factorization.

834137484840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121494 (or 121481 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 834137484840 in words is "eight hundred thirty-four billion, one hundred thirty-seven million, four hundred eighty-four thousand, eight hundred forty".