4229168250240 has 512 divisors, whose sum is σ = 15096032640000. Its totient is φ = 1118947737600.

The previous prime is 4229168250193. The next prime is 4229168250283. The reversal of 4229168250240 is 420528619224.

4229168250240 is a `hidden beast` number, since 4 + 2 + 29 + 1 + 6 + 82 + 502 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1378925187 + ... + 1378928253.

It is an arithmetic number, because the mean of its divisors is an integer number (29484438750).

Almost surely, 2^{4229168250240} is an apocalyptic number.

4229168250240 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 4229168250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548016320000).

4229168250240 is an abundant number, since it is smaller than the sum of its proper divisors (10866864389760).

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

4229168250240 is a wasteful number, since it uses less digits than its factorization.

4229168250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4229168250240 in words is "four trillion, two hundred twenty-nine billion, one hundred sixty-eight million, two hundred fifty thousand, two hundred forty".