4091231289600 has 1728 divisors, whose sum is σ = 18816370675200. Its totient is φ = 846745436160.

The previous prime is 4091231289599. The next prime is 4091231289623. The reversal of 4091231289600 is 69821321904.

4091231289600 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 2 + 31 + 2 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 833411946 + ... + 833416854.

It is an arithmetic number, because the mean of its divisors is an integer number (10889103400).

Almost surely, 2^{4091231289600} is an apocalyptic number.

4091231289600 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 4091231289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408185337600).

4091231289600 is an abundant number, since it is smaller than the sum of its proper divisors (14725139385600).

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

4091231289600 is a wasteful number, since it uses less digits than its factorization.

4091231289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 4091231289600 in words is "four trillion, ninety-one billion, two hundred thirty-one million, two hundred eighty-nine thousand, six hundred".