1332737240016 has 640 divisors, whose sum is σ = 4749696000000. Its totient is φ = 318491357184.

The previous prime is 1332737240011. The next prime is 1332737240069. The reversal of 1332737240016 is 6100427372331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332737240011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93524860 + ... + 93539108.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400000).

Almost surely, 2^{1332737240016} is an apocalyptic number.

1332737240016 is a gapful number since it is divisible by the number (16) 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 1332737240016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848000000).

1332737240016 is an abundant number, since it is smaller than the sum of its proper divisors (3416958759984).

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

1332737240016 is a wasteful number, since it uses less digits than its factorization.

1332737240016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14336 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 1332737240016 in words is "one trillion, three hundred thirty-two billion, seven hundred thirty-seven million, two hundred forty thousand, sixteen".