830836209635040 has 576 divisors, whose sum is σ = 3081455218404864. Its totient is φ = 187595835420672.

The previous prime is 830836209634987. The next prime is 830836209635071. The reversal of 830836209635040 is 40536902638038.

It is a super-3 number, since 3×830836209635040³ (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22092575917 + ... + 22092613523.

It is an arithmetic number, because the mean of its divisors is an integer number (5349748643064).

Almost surely, 2^{830836209635040} is an apocalyptic number.

830836209635040 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 830836209635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540727609202432).

830836209635040 is an abundant number, since it is smaller than the sum of its proper divisors (2250619008769824).

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

830836209635040 is a wasteful number, since it uses less digits than its factorization.

830836209635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49039 (or 49024 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 830836209635040 in words is "eight hundred thirty trillion, eight hundred thirty-six billion, two hundred nine million, six hundred thirty-five thousand, forty".