4225129205760 has 780 divisors, whose sum is σ = 15488555436948. Its totient is φ = 1101772357632.

The previous prime is 4225129205743. The next prime is 4225129205909. The reversal of 4225129205760 is 675029215224.

4225129205760 is a `hidden beast` number, since 4 + 2 + 2 + 51 + 2 + 9 + 20 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2465452670976 + 1759676534784 = 1570176^2 + 1326528^2 .

It is a super-2 number, since 2×4225129205760² (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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3664465344 + ... + 3664466496.

Almost surely, 2^{4225129205760} is an apocalyptic number.

4225129205760 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 4225129205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744277718474).

4225129205760 is an abundant number, since it is smaller than the sum of its proper divisors (11263426231188).

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

4225129205760 is an equidigital number, since it uses as much as digits as its factorization.

4225129205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 4225129205760 in words is "four trillion, two hundred twenty-five billion, one hundred twenty-nine million, two hundred five thousand, seven hundred sixty".