1480261780800 has 1680 divisors, whose sum is σ = 6356591759232. Its totient is φ = 333899366400.

The previous prime is 1480261780727. The next prime is 1480261780819. The reversal of 1480261780800 is 80871620841.

1480261780800 is a `hidden beast` number, since 1 + 480 + 2 + 6 + 17 + 80 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2496225304 + ... + 2496225896.

Almost surely, 2^{1480261780800} is an apocalyptic number.

1480261780800 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 1480261780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178295879616).

1480261780800 is an abundant number, since it is smaller than the sum of its proper divisors (4876329978432).

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

1480261780800 is a wasteful number, since it uses less digits than its factorization.

1480261780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1480261780800 in words is "one trillion, four hundred eighty billion, two hundred sixty-one million, seven hundred eighty thousand, eight hundred".