4001760000 has 540 divisors, whose sum is σ = 16519174672. Its totient is φ = 912384000.

The previous prime is 4001759981. The next prime is 4001760013. The reversal of 4001760000 is 671004.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 10079802 + ... + 10080198.

Almost surely, 2^4001760000 is an apocalyptic number.

4001760000 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 4001760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259587336).

4001760000 is an abundant number, since it is smaller than the sum of its proper divisors (12517414672).

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

4001760000 is an equidigital number, since it uses as much as digits as its factorization.

4001760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4001760000 is about 63259.4656948666. The cubic root of 4001760000 is about 1587.6338366507.

The spelling of 4001760000 in words is "four billion, one million, seven hundred sixty thousand".