4084129313904 has 80 divisors (see below), whose sum is σ = 11107137113600. Its totient is φ = 1289589009408.

The previous prime is 4084129313881. The next prime is 4084129313917. The reversal of 4084129313904 is 4093139214804.

It is a super-2 number, since 2×4084129313904² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8595912 + ... + 9058584.

It is an arithmetic number, because the mean of its divisors is an integer number (138839213920).

Almost surely, 2^{4084129313904} is an apocalyptic number.

It is an amenable number.

4084129313904 is an abundant number, since it is smaller than the sum of its proper divisors (7023007799696).

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

4084129313904 is a wasteful number, since it uses less digits than its factorization.

4084129313904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472382 (or 472376 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 4084129313904 in words is "four trillion, eighty-four billion, one hundred twenty-nine million, three hundred thirteen thousand, nine hundred four".