4125874320 has 800 divisors, whose sum is σ = 16593223680. Its totient is φ = 944317440.

The previous prime is 4125874267. The next prime is 4125874331. The reversal of 4125874320 is 234785214.

It is a happy number.

4125874320 is a `hidden beast` number, since 4 + 12 + 587 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87784537 + ... + 87784583.

Almost surely, 2^4125874320 is an apocalyptic number.

4125874320 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 4125874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296611840).

4125874320 is an abundant number, since it is smaller than the sum of its proper divisors (12467349360).

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

4125874320 is a wasteful number, since it uses less digits than its factorization.

4125874320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4125874320 is about 64232.9691046584. The cubic root of 4125874320 is about 1603.8804665454.

The spelling of 4125874320 in words is "four billion, one hundred twenty-five million, eight hundred seventy-four thousand, three hundred twenty".