4385956960 has 384 divisors, whose sum is σ = 13960719360. Its totient is φ = 1260748800.

The previous prime is 4385956943. The next prime is 4385956969. The reversal of 4385956960 is 696595834.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4385956969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9597052 + ... + 9597508.

It is an arithmetic number, because the mean of its divisors is an integer number (36356040).

Almost surely, 2^4385956960 is an apocalyptic number.

4385956960 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 4385956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980359680).

4385956960 is an abundant number, since it is smaller than the sum of its proper divisors (9574762400).

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

4385956960 is a wasteful number, since it uses less digits than its factorization.

4385956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The square root of 4385956960 is about 66226.5578148223. The cubic root of 4385956960 is about 1636.8973860919.

The spelling of 4385956960 in words is "four billion, three hundred eighty-five million, nine hundred fifty-six thousand, nine hundred sixty".