1483642540800 has 1458 divisors, whose sum is σ = 6387495525684. Its totient is φ = 327579033600.

The previous prime is 1483642540781. The next prime is 1483642540817. The reversal of 1483642540800 is 80452463841.

1483642540800 is a `hidden beast` number, since 1 + 48 + 3 + 64 + 2 + 540 + 8 + 0 + 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 161 ways as a sum of consecutive naturals, for example, 2712326127 + ... + 2712326673.

Almost surely, 2^{1483642540800} is an apocalyptic number.

1483642540800 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 1483642540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193747762842).

1483642540800 is an abundant number, since it is smaller than the sum of its proper divisors (4903852984884).

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

1483642540800 is a wasteful number, since it uses less digits than its factorization.

1483642540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 1483642540800 in words is "one trillion, four hundred eighty-three billion, six hundred forty-two million, five hundred forty thousand, eight hundred".