41803921734120 has 2560 divisors, whose sum is σ = 180625832755200. Its totient is φ = 8545350223872.

The previous prime is 41803921734097. The next prime is 41803921734139. The reversal of 41803921734120 is 2143712930814.

41803921734120 is a `hidden beast` number, since 4 + 1 + 80 + 3 + 92 + 1 + 73 + 412 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 187461532329 + ... + 187461532551.

It is an arithmetic number, because the mean of its divisors is an integer number (70556965920).

Almost surely, 2^{41803921734120} is an apocalyptic number.

41803921734120 is a gapful number since it is divisible by the number (40) 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 41803921734120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90312916377600).

41803921734120 is an abundant number, since it is smaller than the sum of its proper divisors (138821911021080).

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

41803921734120 is a wasteful number, since it uses less digits than its factorization.

41803921734120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 41803921734120 in words is "forty-one trillion, eight hundred three billion, nine hundred twenty-one million, seven hundred thirty-four thousand, one hundred twenty".