1289268202040 has 768 divisors, whose sum is σ = 3975771340800. Its totient is φ = 371531059200.

The previous prime is 1289268201989. The next prime is 1289268202151. The reversal of 1289268202040 is 402028629821.

It is a super-3 number, since 3×1289268202040³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1289268201982 and 1289268202000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4067091962 + ... + 4067092278.

It is an arithmetic number, because the mean of its divisors is an integer number (5176785600).

Almost surely, 2^{1289268202040} is an apocalyptic number.

1289268202040 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 1289268202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987885670400).

1289268202040 is an abundant number, since it is smaller than the sum of its proper divisors (2686503138760).

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

1289268202040 is a wasteful number, since it uses less digits than its factorization.

1289268202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 1289268202040 in words is "one trillion, two hundred eighty-nine billion, two hundred sixty-eight million, two hundred two thousand, forty".