4272202321920 has 1872 divisors, whose sum is σ = 17172964897920. Its totient is φ = 979749568512.

The previous prime is 4272202321909. The next prime is 4272202322077. The reversal of 4272202321920 is 291232022724.

4272202321920 is a `hidden beast` number, since 4 + 27 + 220 + 2 + 321 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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 143 ways as a sum of consecutive naturals, for example, 48002273236 + ... + 48002273324.

It is an arithmetic number, because the mean of its divisors is an integer number (9173592360).

Almost surely, 2^{4272202321920} is an apocalyptic number.

4272202321920 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 4272202321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8586482448960).

4272202321920 is an abundant number, since it is smaller than the sum of its proper divisors (12900762576000).

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

4272202321920 is a wasteful number, since it uses less digits than its factorization.

4272202321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 4272202321920 in words is "four trillion, two hundred seventy-two billion, two hundred two million, three hundred twenty-one thousand, nine hundred twenty".