1979365440 has 224 divisors, whose sum is σ = 6810451200. Its totient is φ = 484171776.

The previous prime is 1979365439. The next prime is 1979365447. The reversal of 1979365440 is 445639791.

1979365440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1979365440.

It is not an unprimeable number, because it can be changed into a prime (1979365447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2483122 + ... + 2483918.

It is an arithmetic number, because the mean of its divisors is an integer number (30403800).

Almost surely, 2^1979365440 is an apocalyptic number.

1979365440 is a gapful number since it is divisible by the number (10) 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 1979365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405225600).

1979365440 is an abundant number, since it is smaller than the sum of its proper divisors (4831085760).

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

1979365440 is a wasteful number, since it uses less digits than its factorization.

1979365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 1979365440 is about 44490.0600134457. The cubic root of 1979365440 is about 1255.5730762631.

The spelling of 1979365440 in words is "one billion, nine hundred seventy-nine million, three hundred sixty-five thousand, four hundred forty".