1480013865792 has 378 divisors, whose sum is σ = 5424209093394. Its totient is φ = 384418298880.

The previous prime is 1480013865791. The next prime is 1480013865853. The reversal of 1480013865792 is 2975683100841.

1480013865792 is a `hidden beast` number, since 1 + 480 + 0 + 1 + 38 + 65 + 79 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1176738970176 + 303274895616 = 1084776^2 + 550704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480013865791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3198418 + ... + 3631790.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1480013865792 = 2960027731584, but 3⋅1480013865792 = 4440041597376 is not.

Almost surely, 2^{1480013865792} is an apocalyptic number.

1480013865792 is a gapful number since it is divisible by the number (12) 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 1480013865792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712104546697).

1480013865792 is an abundant number, since it is smaller than the sum of its proper divisors (3944195227602).

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

1480013865792 is a wasteful number, since it uses less digits than its factorization.

1480013865792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433427 (or 433396 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1480013865792 in words is "one trillion, four hundred eighty billion, thirteen million, eight hundred sixty-five thousand, seven hundred ninety-two".