83829841367040 has 416 divisors, whose sum is σ = 298469429706240. Its totient is φ = 22321308893184.

The previous prime is 83829841366987. The next prime is 83829841367057. The reversal of 83829841367040 is 4076314892838.

83829841367040 is a `hidden beast` number, since 8 + 38 + 2 + 98 + 413 + 67 + 0 + 40 = 666.

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 31 ways as a sum of consecutive naturals, for example, 372029449 + ... + 372254711.

It is an arithmetic number, because the mean of its divisors is an integer number (717474590640).

Almost surely, 2^{83829841367040} is an apocalyptic number.

83829841367040 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 83829841367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149234714853120).

83829841367040 is an abundant number, since it is smaller than the sum of its proper divisors (214639588339200).

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

83829841367040 is a wasteful number, since it uses less digits than its factorization.

83829841367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225974 (or 225946 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 83829841367040 in words is "eighty-three trillion, eight hundred twenty-nine billion, eight hundred forty-one million, three hundred sixty-seven thousand, forty".