1921480704000 has 2160 divisors, whose sum is σ = 8451032911776. Its totient is φ = 429981696000.

The previous prime is 1921480703899. The next prime is 1921480704007. The reversal of 1921480704000 is 4070841291.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 18000 × 16848 × 6336.

It is not an unprimeable number, because it can be changed into a prime (1921480704007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147806207994 + ... + 147806208006.

Almost surely, 2^{1921480704000} is an apocalyptic number.

1921480704000 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 1921480704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225516455888).

1921480704000 is an abundant number, since it is smaller than the sum of its proper divisors (6529552207776).

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

1921480704000 is an frugal number, since it uses more digits than its factorization.

1921480704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1921480704000 in words is "one trillion, nine hundred twenty-one billion, four hundred eighty million, seven hundred four thousand".