1480534315200 has 378 divisors, whose sum is σ = 5293214972604. Its totient is φ = 392485847040.

The previous prime is 1480534315171. The next prime is 1480534315223. The reversal of 1480534315200 is 25134350841.

1480534315200 is a `hidden beast` number, since 1 + 4 + 80 + 53 + 4 + 3 + 1 + 520 + 0 = 666.

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 53 ways as a sum of consecutive naturals, for example, 2199902064 + ... + 2199902736.

Almost surely, 2^{1480534315200} is an apocalyptic number.

1480534315200 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 1480534315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646607486302).

1480534315200 is an abundant number, since it is smaller than the sum of its proper divisors (3812680657404).

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

1480534315200 is an equidigital number, since it uses as much as digits as its factorization.

1480534315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1480534315200 in words is "one trillion, four hundred eighty billion, five hundred thirty-four million, three hundred fifteen thousand, two hundred".