1480456051200 has 2400 divisors, whose sum is σ = 6704483385600. Its totient is φ = 321889075200.

The previous prime is 1480456051183. The next prime is 1480456051219. The reversal of 1480456051200 is 21506540841.

It is a happy number.

1480456051200 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 45 + 605 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8179315110 + ... + 8179315290.

It is an arithmetic number, because the mean of its divisors is an integer number (2793534744).

Almost surely, 2^{1480456051200} is an apocalyptic number.

1480456051200 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 1480456051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352241692800).

1480456051200 is an abundant number, since it is smaller than the sum of its proper divisors (5224027334400).

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

1480456051200 is an equidigital number, since it uses as much as digits as its factorization.

1480456051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1480456051200 in words is "one trillion, four hundred eighty billion, four hundred fifty-six million, fifty-one thousand, two hundred".