4125249263520 has 864 divisors, whose sum is σ = 18461457403200. Its totient is φ = 857189329920.

The previous prime is 4125249263519. The next prime is 4125249263533. The reversal of 4125249263520 is 253629425214.

4125249263520 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 2 + 4 + 9 + 2 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 25532751 + ... + 25693809.

It is an arithmetic number, because the mean of its divisors is an integer number (21367427550).

Almost surely, 2^{4125249263520} is an apocalyptic number.

4125249263520 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 4125249263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230728701600).

4125249263520 is an abundant number, since it is smaller than the sum of its proper divisors (14336208139680).

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

4125249263520 is a wasteful number, since it uses less digits than its factorization.

4125249263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161119 (or 161087 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4125249263520 in words is "four trillion, one hundred twenty-five billion, two hundred forty-nine million, two hundred sixty-three thousand, five hundred twenty".