1971486720000 has 1140 divisors, whose sum is σ = 8176259959296. Its totient is φ = 448266240000.

The previous prime is 1971486719987. The next prime is 1971486720013. The reversal of 1971486720000 is 276841791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1971486719987) and next prime (1971486720013).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10321919905 + ... + 10321920095.

Almost surely, 2^{1971486720000} is an apocalyptic number.

1971486720000 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 1971486720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088129979648).

1971486720000 is an abundant number, since it is smaller than the sum of its proper divisors (6204773239296).

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

1971486720000 is an frugal number, since it uses more digits than its factorization.

1971486720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1971486720000 in words is "one trillion, nine hundred seventy-one billion, four hundred eighty-six million, seven hundred twenty thousand".