4212754920 has 576 divisors, whose sum is σ = 16395462720. Its totient is φ = 964224000.

The previous prime is 4212754907. The next prime is 4212754943. The reversal of 4212754920 is 294572124.

4212754920 is a `hidden beast` number, since 42 + 127 + 5 + 492 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102750100 + ... + 102750140.

It is an arithmetic number, because the mean of its divisors is an integer number (28464345).

Almost surely, 2^4212754920 is an apocalyptic number.

4212754920 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 4212754920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8197731360).

4212754920 is an abundant number, since it is smaller than the sum of its proper divisors (12182707800).

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

4212754920 is a wasteful number, since it uses less digits than its factorization.

4212754920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4212754920 is about 64905.7387293296. The cubic root of 4212754920 is about 1615.0602615962.

The spelling of 4212754920 in words is "four billion, two hundred twelve million, seven hundred fifty-four thousand, nine hundred twenty".