1013479778320 has 80 divisors (see below), whose sum is σ = 2424152219328. Its totient is φ = 393762746880.

The previous prime is 1013479778309. The next prime is 1013479778323. The reversal of 1013479778320 is 238779743101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×1013479778320⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1013479778323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1445875 + ... + 2029165.

Almost surely, 2^{1013479778320} is an apocalyptic number.

1013479778320 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 1013479778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212076109664).

1013479778320 is an abundant number, since it is smaller than the sum of its proper divisors (1410672441008).

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

1013479778320 is a wasteful number, since it uses less digits than its factorization.

1013479778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583928 (or 583922 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 1013479778320 in words is "one trillion, thirteen billion, four hundred seventy-nine million, seven hundred seventy-eight thousand, three hundred twenty".