834338867040 has 1344 divisors, whose sum is σ = 3531574287360. Its totient is φ = 182159953920.

The previous prime is 834338867029. The next prime is 834338867041. The reversal of 834338867040 is 40768833438.

It is a super-2 number, since 2×834338867040² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834338867041) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3954212535 + ... + 3954212745.

It is an arithmetic number, because the mean of its divisors is an integer number (2627659440).

Almost surely, 2^834338867040 is an apocalyptic number.

834338867040 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 834338867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765787143680).

834338867040 is an abundant number, since it is smaller than the sum of its proper divisors (2697235420320).

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

834338867040 is a wasteful number, since it uses less digits than its factorization.

834338867040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 834338867040 in words is "eight hundred thirty-four billion, three hundred thirty-eight million, eight hundred sixty-seven thousand, forty".