1289134386540 has 1152 divisors, whose sum is σ = 5476945324032. Its totient is φ = 245806202880.

The previous prime is 1289134386523. The next prime is 1289134386563. The reversal of 1289134386540 is 456834319821.

It is a happy number.

1289134386540 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 13 + 4 + 3 + 86 + 540 = 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 383 ways as a sum of consecutive naturals, for example, 938917294 + ... + 938918666.

It is an arithmetic number, because the mean of its divisors is an integer number (4754292816).

Almost surely, 2^{1289134386540} is an apocalyptic number.

1289134386540 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 1289134386540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738472662016).

1289134386540 is an abundant number, since it is smaller than the sum of its proper divisors (4187810937492).

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

1289134386540 is a wasteful number, since it uses less digits than its factorization.

1289134386540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1289134386540 in words is "one trillion, two hundred eighty-nine billion, one hundred thirty-four million, three hundred eighty-six thousand, five hundred forty".