4358125440 has 192 divisors, whose sum is σ = 15934754160. Its totient is φ = 1093779456.

The previous prime is 4358125439. The next prime is 4358125459. The reversal of 4358125440 is 445218534.

It is a happy number.

4358125440 is a `hidden beast` number, since 4 + 35 + 81 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 4358125395 and 4358125404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75667 + ... + 120173.

Almost surely, 2^4358125440 is an apocalyptic number.

4358125440 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 4358125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967377080).

4358125440 is an abundant number, since it is smaller than the sum of its proper divisors (11576628720).

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

4358125440 is a wasteful number, since it uses less digits than its factorization.

4358125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44549 (or 44534 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4358125440 is about 66016.0998545052. The cubic root of 4358125440 is about 1633.4276722779.

The spelling of 4358125440 in words is "four billion, three hundred fifty-eight million, one hundred twenty-five thousand, four hundred forty".