1979011440 has 240 divisors, whose sum is σ = 7877495808. Its totient is φ = 452314368.

The previous prime is 1979011439. The next prime is 1979011457. The reversal of 1979011440 is 441109791.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1979011395 and 1979011404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128809 + ... + 143351.

Almost surely, 2^1979011440 is an apocalyptic number.

1979011440 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 1979011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938747904).

1979011440 is an abundant number, since it is smaller than the sum of its proper divisors (5898484368).

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

1979011440 is a wasteful number, since it uses less digits than its factorization.

1979011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14578 (or 14560 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1979011440 is about 44486.0814187988. The cubic root of 1979011440 is about 1255.4982207295.

The spelling of 1979011440 in words is "one billion, nine hundred seventy-nine million, eleven thousand, four hundred forty".