1480193542800 has 1440 divisors, whose sum is σ = 6457719250944. Its totient is φ = 306173952000.

The previous prime is 1480193542787. The next prime is 1480193542847. The reversal of 1480193542800 is 82453910841.

1480193542800 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 19 + 354 + 280 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 3014650555 + ... + 3014651045.

Almost surely, 2^{1480193542800} is an apocalyptic number.

1480193542800 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 1480193542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228859625472).

1480193542800 is an abundant number, since it is smaller than the sum of its proper divisors (4977525708144).

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

1480193542800 is a wasteful number, since it uses less digits than its factorization.

1480193542800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1480193542800 in words is "one trillion, four hundred eighty billion, one hundred ninety-three million, five hundred forty-two thousand, eight hundred".