4207323120 has 640 divisors, whose sum is σ = 17806860288. Its totient is φ = 793497600.

The previous prime is 4207323067. The next prime is 4207323137. The reversal of 4207323120 is 213237024.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 19939815 + ... + 19940025.

Almost surely, 2^4207323120 is an apocalyptic number.

4207323120 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 4207323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8903430144).

4207323120 is an abundant number, since it is smaller than the sum of its proper divisors (13599537168).

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

4207323120 is a wasteful number, since it uses less digits than its factorization.

4207323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 4207323120 is about 64863.8814749780. The cubic root of 4207323120 is about 1614.3658262753.

The spelling of 4207323120 in words is "four billion, two hundred seven million, three hundred twenty-three thousand, one hundred twenty".