4039400960 has 160 divisors (see below), whose sum is σ = 11115574272. Its totient is φ = 1379082240.

The previous prime is 4039400929. The next prime is 4039400983. The reversal of 4039400960 is 690049304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4039400960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7723259 + ... + 7723781.

Almost surely, 2^4039400960 is an apocalyptic number.

4039400960 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 4039400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557787136).

4039400960 is an abundant number, since it is smaller than the sum of its proper divisors (7076173312).

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

4039400960 is an equidigital number, since it uses as much as digits as its factorization.

4039400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 4039400960 is about 63556.2818295721. The cubic root of 4039400960 is about 1592.5961253297.

The spelling of 4039400960 in words is "four billion, thirty-nine million, four hundred thousand, nine hundred sixty".