4231162656000 has 1296 divisors, whose sum is σ = 18074537994240. Its totient is φ = 966786969600.

The previous prime is 4231162655981. The next prime is 4231162656059. The reversal of 4231162656000 is 6562611324.

4231162656000 is a `hidden beast` number, since 4 + 2 + 31 + 1 + 62 + 6 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1469662561 + ... + 1469665439.

Almost surely, 2^{4231162656000} is an apocalyptic number.

4231162656000 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 4231162656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037268997120).

4231162656000 is an abundant number, since it is smaller than the sum of its proper divisors (13843375338240).

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

4231162656000 is an frugal number, since it uses more digits than its factorization.

4231162656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4231162656000 in words is "four trillion, two hundred thirty-one billion, one hundred sixty-two million, six hundred fifty-six thousand".