4121673071040 has 2016 divisors, whose sum is σ = 18190976454144. Its totient is φ = 850195906560.

The previous prime is 4121673071003. The next prime is 4121673071051. The reversal of 4121673071040 is 401703761214.

4121673071040 is a `hidden beast` number, since 412 + 167 + 30 + 7 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4121673070986 and 4121673071004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11676127504 + ... + 11676127856.

Almost surely, 2^{4121673071040} is an apocalyptic number.

4121673071040 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 4121673071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9095488227072).

4121673071040 is an abundant number, since it is smaller than the sum of its proper divisors (14069303383104).

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

4121673071040 is a wasteful number, since it uses less digits than its factorization.

4121673071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 4121673071040 in words is "four trillion, one hundred twenty-one billion, six hundred seventy-three million, seventy-one thousand, forty".