1331215747680 has 1728 divisors, whose sum is σ = 5736834512640. Its totient is φ = 256340754432.

The previous prime is 1331215747657. The next prime is 1331215747717. The reversal of 1331215747680 is 867475121331.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18235832124 + ... + 18235832196.

It is an arithmetic number, because the mean of its divisors is an integer number (3319927380).

Almost surely, 2^{1331215747680} is an apocalyptic number.

1331215747680 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 1331215747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868417256320).

1331215747680 is an abundant number, since it is smaller than the sum of its proper divisors (4405618764960).

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

1331215747680 is a wasteful number, since it uses less digits than its factorization.

1331215747680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 1331215747680 in words is "one trillion, three hundred thirty-one billion, two hundred fifteen million, seven hundred forty-seven thousand, six hundred eighty".