1289893316040 has 640 divisors, whose sum is σ = 5028148224000. Its totient is φ = 290500784640.

The previous prime is 1289893315951. The next prime is 1289893316057. The reversal of 1289893316040 is 406133989821.

1289893316040 is a `hidden beast` number, since 1 + 28 + 9 + 8 + 9 + 3 + 3 + 1 + 604 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 482923905 + ... + 482926575.

It is an arithmetic number, because the mean of its divisors is an integer number (7856481600).

Almost surely, 2^{1289893316040} is an apocalyptic number.

1289893316040 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 1289893316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514074112000).

1289893316040 is an abundant number, since it is smaller than the sum of its proper divisors (3738254907960).

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

1289893316040 is a wasteful number, since it uses less digits than its factorization.

1289893316040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1289893316040 in words is "one trillion, two hundred eighty-nine billion, eight hundred ninety-three million, three hundred sixteen thousand, forty".