4237246789920 has 288 divisors, whose sum is σ = 15207675485184. Its totient is φ = 1072850688000.

The previous prime is 4237246789861. The next prime is 4237246789943. The reversal of 4237246789920 is 299876427324.

4237246789920 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 2 + 467 + 89 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4237246789920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470445 + ... + 3261395.

It is an arithmetic number, because the mean of its divisors is an integer number (52804428768).

Almost surely, 2^{4237246789920} is an apocalyptic number.

4237246789920 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 4237246789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603837742592).

4237246789920 is an abundant number, since it is smaller than the sum of its proper divisors (10970428695264).

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

4237246789920 is a wasteful number, since it uses less digits than its factorization.

4237246789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791056 (or 1791045 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 4237246789920 in words is "four trillion, two hundred thirty-seven billion, two hundred forty-six million, seven hundred eighty-nine thousand, nine hundred twenty".