1289947982400 has 672 divisors, whose sum is σ = 5862670479360. Its totient is φ = 268040448000.

The previous prime is 1289947982399. The next prime is 1289947982441. The reversal of 1289947982400 is 42897499821.

1289947982400 is a `hidden beast` number, since 1 + 2 + 89 + 9 + 4 + 79 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3132505 + ... + 3520295.

Almost surely, 2^{1289947982400} is an apocalyptic number.

1289947982400 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 1289947982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931335239680).

1289947982400 is an abundant number, since it is smaller than the sum of its proper divisors (4572722496960).

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

1289947982400 is a wasteful number, since it uses less digits than its factorization.

1289947982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387840 (or 387819 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 1289947982400 in words is "one trillion, two hundred eighty-nine billion, nine hundred forty-seven million, nine hundred eighty-two thousand, four hundred".