4125655040 has 192 divisors, whose sum is σ = 10793614500. Its totient is φ = 1513095168.

The previous prime is 4125655031. The next prime is 4125655111. The reversal of 4125655040 is 405565214.

It can be written as a sum of positive squares in 6 ways, for example, as 46022656 + 4079632384 = 6784^2 + 63872^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4125654988 and 4125655006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27688886 + ... + 27689034.

Almost surely, 2^4125655040 is an apocalyptic number.

4125655040 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 4125655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396807250).

4125655040 is an abundant number, since it is smaller than the sum of its proper divisors (6667959460).

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

4125655040 is an equidigital number, since it uses as much as digits as its factorization.

4125655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 4125655040 is about 64231.2621703793. The cubic root of 4125655040 is about 1603.8520519508.

The spelling of 4125655040 in words is "four billion, one hundred twenty-five million, six hundred fifty-five thousand, forty".