1332781274160 has 1440 divisors, whose sum is σ = 5830238269440. Its totient is φ = 270557134848.

The previous prime is 1332781274119. The next prime is 1332781274197. The reversal of 1332781274160 is 614721872331.

1332781274160 is a `hidden beast` number, since 13 + 32 + 78 + 127 + 416 + 0 = 666.

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

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, 1089763309 + ... + 1089764531.

It is an arithmetic number, because the mean of its divisors is an integer number (4048776576).

Almost surely, 2^{1332781274160} is an apocalyptic number.

1332781274160 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 1332781274160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915119134720).

1332781274160 is an abundant number, since it is smaller than the sum of its proper divisors (4497456995280).

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

1332781274160 is a wasteful number, since it uses less digits than its factorization.

1332781274160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1332781274160 in words is "one trillion, three hundred thirty-two billion, seven hundred eighty-one million, two hundred seventy-four thousand, one hundred sixty".