1480420305792 has 256 divisors, whose sum is σ = 4493059200000. Its totient is φ = 479529289728.

The previous prime is 1480420305787. The next prime is 1480420305797. The reversal of 1480420305792 is 2975030240841.

1480420305792 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 42 + 0 + 30 + 579 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1480420305787) and next prime (1480420305797).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480420305797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107277709 + ... + 107291507.

It is an arithmetic number, because the mean of its divisors is an integer number (17551012500).

Almost surely, 2^{1480420305792} is an apocalyptic number.

1480420305792 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 1480420305792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246529600000).

1480420305792 is an abundant number, since it is smaller than the sum of its proper divisors (3012638894208).

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

1480420305792 is a wasteful number, since it uses less digits than its factorization.

1480420305792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14698 (or 14680 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1480420305792 in words is "one trillion, four hundred eighty billion, four hundred twenty million, three hundred five thousand, seven hundred ninety-two".