1331868303360 has 1280 divisors, whose sum is σ = 5572383379200. Its totient is φ = 299267260416.

The previous prime is 1331868303341. The next prime is 1331868303371. The reversal of 1331868303360 is 633038681331.

1331868303360 is a `hidden beast` number, since 1 + 33 + 186 + 83 + 0 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 79 ways as a sum of consecutive naturals, for example, 22574039011 + ... + 22574039069.

It is an arithmetic number, because the mean of its divisors is an integer number (4353424515).

Almost surely, 2^{1331868303360} is an apocalyptic number.

1331868303360 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 1331868303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786191689600).

1331868303360 is an abundant number, since it is smaller than the sum of its proper divisors (4240515075840).

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

1331868303360 is an frugal number, since it uses more digits than its factorization.

1331868303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1331868303360 in words is "one trillion, three hundred thirty-one billion, eight hundred sixty-eight million, three hundred three thousand, three hundred sixty".