4130217393840 has 120 divisors (see below), whose sum is σ = 13871156928720. Its totient is φ = 1101350794752.

The previous prime is 4130217393821. The next prime is 4130217393851. The reversal of 4130217393840 is 483937120314.

4130217393840 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 217 + 393 + 8 + 40 = 666.

4130217393840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 22993014 + ... + 23171946.

It is an arithmetic number, because the mean of its divisors is an integer number (115592974406).

Almost surely, 2^{4130217393840} is an apocalyptic number.

4130217393840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130217393840 is an abundant number, since it is smaller than the sum of its proper divisors (9740939534880).

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

4130217393840 is a wasteful number, since it uses less digits than its factorization.

4130217393840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211011 (or 211002 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4130217393840 in words is "four trillion, one hundred thirty billion, two hundred seventeen million, three hundred ninety-three thousand, eight hundred forty".