1452216729600 has 2700 divisors, whose sum is σ = 6837674433744. Its totient is φ = 298120642560.

The previous prime is 1452216729599. The next prime is 1452216729611. The reversal of 1452216729600 is 69276122541.

1452216729600 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 2 + 16 + 7 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

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 179 ways as a sum of consecutive naturals, for example, 39249100782 + ... + 39249100818.

Almost surely, 2^{1452216729600} is an apocalyptic number.

1452216729600 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 1452216729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418837216872).

1452216729600 is an abundant number, since it is smaller than the sum of its proper divisors (5385457704144).

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

1452216729600 is an equidigital number, since it uses as much as digits as its factorization.

1452216729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1452216729600 in words is "one trillion, four hundred fifty-two billion, two hundred sixteen million, seven hundred twenty-nine thousand, six hundred".