4296211920 has 640 divisors, whose sum is σ = 19878727680. Its totient is φ = 823633920.

The previous prime is 4296211903. The next prime is 4296211943. The reversal of 4296211920 is 291126924.

4296211920 is a `hidden beast` number, since 4 + 2 + 9 + 621 + 1 + 9 + 20 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2161167 + ... + 2163153.

It is an arithmetic number, because the mean of its divisors is an integer number (31060512).

Almost surely, 2^4296211920 is an apocalyptic number.

4296211920 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 4296211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939363840).

4296211920 is an abundant number, since it is smaller than the sum of its proper divisors (15582515760).

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

4296211920 is a wasteful number, since it uses less digits than its factorization.

4296211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4296211920 is about 65545.4950397051. The cubic root of 4296211920 is about 1625.6556779663.

The spelling of 4296211920 in words is "four billion, two hundred ninety-six million, two hundred eleven thousand, nine hundred twenty".