4079125440 has 448 divisors, whose sum is σ = 16181222400. Its totient is φ = 959827968.

The previous prime is 4079125433. The next prime is 4079125451. The reversal of 4079125440 is 445219704.

It is a happy number.

4079125440 is a `hidden beast` number, since 40 + 79 + 1 + 2 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4079125395 and 4079125404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2582571 + ... + 2584149.

It is an arithmetic number, because the mean of its divisors is an integer number (36118800).

Almost surely, 2^4079125440 is an apocalyptic number.

4079125440 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 4079125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090611200).

4079125440 is an abundant number, since it is smaller than the sum of its proper divisors (12102096960).

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

4079125440 is a wasteful number, since it uses less digits than its factorization.

4079125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4079125440 is about 63868.0314398369. The cubic root of 4079125440 is about 1597.7997674139.

The spelling of 4079125440 in words is "four billion, seventy-nine million, one hundred twenty-five thousand, four hundred forty".