1921442964480 has 880 divisors, whose sum is σ = 7439871512304. Its totient is φ = 471387340800.

The previous prime is 1921442964443. The next prime is 1921442964533. The reversal of 1921442964480 is 844692441291.

1921442964480 is a `hidden beast` number, since 1 + 92 + 14 + 4 + 2 + 9 + 64 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 846111744 + 1920596852736 = 29088^2 + 1385856^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3197076180 + ... + 3197076780.

Almost surely, 2^{1921442964480} is an apocalyptic number.

1921442964480 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 1921442964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719935756152).

1921442964480 is an abundant number, since it is smaller than the sum of its proper divisors (5518428547824).

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

1921442964480 is a wasteful number, since it uses less digits than its factorization.

1921442964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1921442964480 in words is "one trillion, nine hundred twenty-one billion, four hundred forty-two million, nine hundred sixty-four thousand, four hundred eighty".