1480309749600 has 288 divisors, whose sum is σ = 5275867322880. Its totient is φ = 357537024000.

The previous prime is 1480309749577. The next prime is 1480309749601. The reversal of 1480309749600 is 69479030841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480309749601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7050946 + ... + 7257854.

It is an arithmetic number, because the mean of its divisors is an integer number (18318983760).

Almost surely, 2^{1480309749600} is an apocalyptic number.

1480309749600 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 1480309749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637933661440).

1480309749600 is an abundant number, since it is smaller than the sum of its proper divisors (3795557573280).

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

1480309749600 is a wasteful number, since it uses less digits than its factorization.

1480309749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207214 (or 207201 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 1480309749600 in words is "one trillion, four hundred eighty billion, three hundred nine million, seven hundred forty-nine thousand, six hundred".