4327314001920 has 1664 divisors, whose sum is σ = 19762825420800. Its totient is φ = 873085796352.

The previous prime is 4327314001889. The next prime is 4327314001987. The reversal of 4327314001920 is 291004137234.

It is a happy number.

4327314001920 is a `hidden beast` number, since 4 + 32 + 7 + 31 + 400 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1157343411 + ... + 1157347149.

Almost surely, 2^{4327314001920} is an apocalyptic number.

4327314001920 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 4327314001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9881412710400).

4327314001920 is an abundant number, since it is smaller than the sum of its proper divisors (15435511418880).

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

4327314001920 is a wasteful number, since it uses less digits than its factorization.

4327314001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 4327314001920 in words is "four trillion, three hundred twenty-seven billion, three hundred fourteen million, one thousand, nine hundred twenty".