4227512425920 has 672 divisors, whose sum is σ = 16704958533120. Its totient is φ = 961257922560.

The previous prime is 4227512425901. The next prime is 4227512425937. The reversal of 4227512425920 is 295242157224.

4227512425920 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 5 + 12 + 42 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4227512425920² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 5099532066 + ... + 5099532894.

Almost surely, 2^{4227512425920} is an apocalyptic number.

4227512425920 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 4227512425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352479266560).

4227512425920 is an abundant number, since it is smaller than the sum of its proper divisors (12477446107200).

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

4227512425920 is a wasteful number, since it uses less digits than its factorization.

4227512425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4227512425920 in words is "four trillion, two hundred twenty-seven billion, five hundred twelve million, four hundred twenty-five thousand, nine hundred twenty".