4019984640 has 720 divisors, whose sum is σ = 17095034880. Its totient is φ = 882524160.

The previous prime is 4019984623. The next prime is 4019984681. The reversal of 4019984640 is 464899104.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21046945 + ... + 21047135.

It is an arithmetic number, because the mean of its divisors is an integer number (23743104).

Almost surely, 2^4019984640 is an apocalyptic number.

4019984640 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 4019984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547517440).

4019984640 is an abundant number, since it is smaller than the sum of its proper divisors (13075050240).

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

4019984640 is a wasteful number, since it uses less digits than its factorization.

4019984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4019984640 is about 63403.3488074565. The cubic root of 4019984640 is about 1590.0402980175.

The spelling of 4019984640 in words is "four billion, nineteen million, nine hundred eighty-four thousand, six hundred forty".