1480743936000 has 1344 divisors, whose sum is σ = 6374853351360. Its totient is φ = 338146099200.

The previous prime is 1480743935977. The next prime is 1480743936029. The reversal of 1480743936000 is 6393470841.

1480743936000 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 7 + 4 + 39 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1354751454 + ... + 1354752546.

Almost surely, 2^{1480743936000} is an apocalyptic number.

1480743936000 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 1480743936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187426675680).

1480743936000 is an abundant number, since it is smaller than the sum of its proper divisors (4894109415360).

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

1480743936000 is an equidigital number, since it uses as much as digits as its factorization.

1480743936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1480743936000 in words is "one trillion, four hundred eighty billion, seven hundred forty-three million, nine hundred thirty-six thousand".