1301339220480 has 960 divisors, whose sum is σ = 5186814272640. Its totient is φ = 298853203968.

The previous prime is 1301339220473. The next prime is 1301339220491. The reversal of 1301339220480 is 840229331031.

1301339220480 is a `hidden beast` number, since 130 + 13 + 39 + 2 + 2 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381287254 + ... + 381290666.

It is an arithmetic number, because the mean of its divisors is an integer number (5402931534).

Almost surely, 2^{1301339220480} is an apocalyptic number.

1301339220480 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 1301339220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593407136320).

1301339220480 is an abundant number, since it is smaller than the sum of its proper divisors (3885475052160).

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

1301339220480 is a wasteful number, since it uses less digits than its factorization.

1301339220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1301339220480 in words is "one trillion, three hundred one billion, three hundred thirty-nine million, two hundred twenty thousand, four hundred eighty".