1331480747520 has 3240 divisors, whose sum is σ = 6453268573752. Its totient is φ = 262109675520.

The previous prime is 1331480747491. The next prime is 1331480747551. The reversal of 1331480747520 is 257470841331.

1331480747520 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 4 + 80 + 7 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 70077934071 + ... + 70077934089.

Almost surely, 2^{1331480747520} is an apocalyptic number.

1331480747520 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 1331480747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226634286876).

1331480747520 is an abundant number, since it is smaller than the sum of its proper divisors (5121787826232).

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

1331480747520 is an equidigital number, since it uses as much as digits as its factorization.

1331480747520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1331480747520 in words is "one trillion, three hundred thirty-one billion, four hundred eighty million, seven hundred forty-seven thousand, five hundred twenty".