1332269977600 has 117 divisors (see below), whose sum is σ = 3304542367497. Its totient is φ = 532760248320.

The previous prime is 1332269977573. The next prime is 1332269977609. The reversal of 1332269977600 is 67799622331.

The square root of 1332269977600 is 1154240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 479617191936 + 852652785664 = 692544^2 + 923392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332269977609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 369354997 + ... + 369358603.

Almost surely, 2^{1332269977600} is an apocalyptic number.

1332269977600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1332269977600 is the 1154240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332269977600

1332269977600 is an abundant number, since it is smaller than the sum of its proper divisors (1972272389897).

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

1332269977600 is an frugal number, since it uses more digits than its factorization.

1332269977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 55.

The spelling of 1332269977600 in words is "one trillion, three hundred thirty-two billion, two hundred sixty-nine million, nine hundred seventy-seven thousand, six hundred".