4131091698400 has 36 divisors (see below), whose sum is σ = 10085027610672. Its totient is φ = 1652436679040.

The previous prime is 4131091698271. The next prime is 4131091698401. The reversal of 4131091698400 is 48961901314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131091698401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2581931512 + ... + 2581933111.

It is an arithmetic number, because the mean of its divisors is an integer number (280139655852).

Almost surely, 2^{4131091698400} is an apocalyptic number.

4131091698400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4131091698400 is an abundant number, since it is smaller than the sum of its proper divisors (5953935912272).

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

4131091698400 is a wasteful number, since it uses less digits than its factorization.

4131091698400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163864643 (or 5163864630 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 4131091698400 in words is "four trillion, one hundred thirty-one billion, ninety-one million, six hundred ninety-eight thousand, four hundred".