1484274892800 has 1152 divisors, whose sum is σ = 5944580236800. Its totient is φ = 320062095360.

The previous prime is 1484274892741. The next prime is 1484274892801. The reversal of 1484274892800 is 82984724841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1484274892801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6210355081 + ... + 6210355319.

It is an arithmetic number, because the mean of its divisors is an integer number (5160225900).

Almost surely, 2^{1484274892800} is an apocalyptic number.

1484274892800 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 1484274892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972290118400).

1484274892800 is an abundant number, since it is smaller than the sum of its proper divisors (4460305344000).

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

1484274892800 is an equidigital number, since it uses as much as digits as its factorization.

1484274892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 1484274892800 in words is "one trillion, four hundred eighty-four billion, two hundred seventy-four million, eight hundred ninety-two thousand, eight hundred".